\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  -40.0 & +  9.00 x_{1} & -5.00 x_{2} & -6.00 x_{3} & +  2.00 x_{4} & +  6.00 x_{5} &   & + 10.00 x_{7} & +  8.00 x_{8} & -5.00 x_{9} &   & -5.00 x_{11} & +  6.00 x_{12} & -1.00 x_{13} & +  7.00 x_{14} & +  8.00 x_{15}\\
 x_{17}   &  -6.0 & +  3.00 x_{1} & +  6.00 x_{2} & -7.00 x_{3} & -5.00 x_{4} &   & -6.00 x_{6} & +  6.00 x_{7} & + 10.00 x_{8} & -2.00 x_{9} & +  2.00 x_{10} & -8.00 x_{11} & -3.00 x_{12} & +  3.00 x_{13} & +  3.00 x_{14} & +  8.00 x_{15}\\
 x_{18}   &  61.0 & -7.00 x_{1} & + 10.00 x_{2} & -1.00 x_{3} & +  2.00 x_{4} & -2.00 x_{5} & -5.00 x_{6} & -4.00 x_{7} & -7.00 x_{8} & -7.00 x_{9} & +  7.00 x_{10} & +  6.00 x_{11} & -9.00 x_{12} & +  5.00 x_{13} & -5.00 x_{14} & +  3.00 x_{15}\\
 x_{19}   &  13.0 & +  1.00 x_{1} & +  5.00 x_{2} & -1.00 x_{3} & -5.00 x_{4} & +  9.00 x_{5} & -8.00 x_{6} & -6.00 x_{7} & +  8.00 x_{8} & +  5.00 x_{9} & +  1.00 x_{10} & +  5.00 x_{11} & -8.00 x_{12} & +  2.00 x_{13} & -6.00 x_{14} & +  1.00 x_{15}\\
 x_{20}   &  94.0 & + 10.00 x_{1} & -8.00 x_{2} & -8.00 x_{3} & -4.00 x_{4} & +  4.00 x_{5} & + 10.00 x_{6} &   & -7.00 x_{8} & -10.00 x_{9} & +  1.00 x_{10} & -8.00 x_{11} & -9.00 x_{12} & -6.00 x_{13} & -3.00 x_{14} & +  8.00 x_{15}\\
 x_{21}   &  -36.0 & -9.00 x_{1} & -9.00 x_{2} & +  5.00 x_{3} & +  6.00 x_{4} & +  1.00 x_{5} & -9.00 x_{6} & +  4.00 x_{7} & +  5.00 x_{8} & +  7.00 x_{9} & + 10.00 x_{10} & -10.00 x_{11} & + 10.00 x_{12} & +  2.00 x_{13} & -2.00 x_{14} & -8.00 x_{15}\\
 x_{22}   &  -1.0 & -6.00 x_{1} & -7.00 x_{2} & -5.00 x_{3} & -2.00 x_{4} & -10.00 x_{5} & +  9.00 x_{6} & +  3.00 x_{7} & +  8.00 x_{8} & -3.00 x_{9} & +  1.00 x_{10} & -1.00 x_{11} & -5.00 x_{12} & +  6.00 x_{13} & -2.00 x_{14} & +  1.00 x_{15}\\
 x_{23}   &  1.0 & +  5.00 x_{1} & -1.00 x_{2} & +  9.00 x_{3} & -9.00 x_{4} & -8.00 x_{5} & +  1.00 x_{6} & +  1.00 x_{7} & -9.00 x_{8} & + 10.00 x_{9} & -5.00 x_{10} & -8.00 x_{11} & -6.00 x_{12} & -8.00 x_{13} & +  2.00 x_{14} & +  6.00 x_{15}\\
 x_{24}   &  -29.0 & +  3.00 x_{1} & +  6.00 x_{2} & +  7.00 x_{3} & +  2.00 x_{4} & -3.00 x_{5} & + 10.00 x_{6} & -6.00 x_{7} & -8.00 x_{8} & + 10.00 x_{9} & +  6.00 x_{10} & -10.00 x_{11} & -10.00 x_{12} & +  1.00 x_{13} & -1.00 x_{14} & +  3.00 x_{15}\\
 x_{25}   &  34.0 & +  9.00 x_{1} & +  2.00 x_{2} & -7.00 x_{3} & -4.00 x_{4} & -3.00 x_{5} & -5.00 x_{6} & -4.00 x_{7} & -9.00 x_{8} & -6.00 x_{9} & -10.00 x_{10} & +  6.00 x_{11} & +  6.00 x_{12} & +  2.00 x_{13} & +  5.00 x_{14} & +  8.00 x_{15}\\
 x_{26}   &  11.0 & -10.00 x_{1} & +  9.00 x_{2} & +  8.00 x_{3} & +  3.00 x_{4} & +  1.00 x_{5} & -1.00 x_{6} & +  6.00 x_{7} & -4.00 x_{8} & -9.00 x_{9} & +  4.00 x_{10} & -4.00 x_{11} & -4.00 x_{12} & +  8.00 x_{13} & -9.00 x_{14} & +  7.00 x_{15}\\
 x_{27}   &  29.0 & -3.00 x_{1} & -2.00 x_{2} & -8.00 x_{3} &   & -7.00 x_{5} & +  5.00 x_{6} & +  4.00 x_{7} & + 10.00 x_{8} & +  8.00 x_{9} & +  7.00 x_{10} & -8.00 x_{11} & -4.00 x_{12} & -1.00 x_{13} & -10.00 x_{14} & -10.00 x_{15}\\
 x_{28}   &  38.0  &   & + 10.00 x_{2} & -1.00 x_{3} & -9.00 x_{4} & +  4.00 x_{5} & -3.00 x_{6} & +  4.00 x_{7} & -9.00 x_{8} & +  3.00 x_{9} & -10.00 x_{10} & +  8.00 x_{11} & +  9.00 x_{12} & -3.00 x_{13} & -2.00 x_{14} &   \\
 x_{29}   &  0.0 & +  2.00 x_{1} & -3.00 x_{2} & -4.00 x_{3} & -7.00 x_{4} & -5.00 x_{5} & +  8.00 x_{6} & -9.00 x_{7} & +  8.00 x_{8} & -6.00 x_{9} & -7.00 x_{10} & +  7.00 x_{11} & -6.00 x_{12} & +  9.00 x_{13} & -3.00 x_{14} & + 10.00 x_{15}\\
 x_{30}   &  -16.0 & +  9.00 x_{1} & +  9.00 x_{2} & -2.00 x_{3} & -4.00 x_{4} & -10.00 x_{5} & +  8.00 x_{6} & +  8.00 x_{7} &   & +  2.00 x_{9} & +  8.00 x_{10} & +  1.00 x_{11} & +  7.00 x_{12} & +  2.00 x_{13} & +  2.00 x_{14} & + 10.00 x_{15}\\
 x_{31}   &  0.0 & +  7.00 x_{1} & -3.00 x_{2} & -9.00 x_{3} & +  5.00 x_{4} & -4.00 x_{5} & +  9.00 x_{6} & -10.00 x_{7} & + 10.00 x_{8} & -9.00 x_{9} & +  3.00 x_{10} & -8.00 x_{11} & +  4.00 x_{12} & +  8.00 x_{13} &   & -8.00 x_{15}\\
\hline
z    &  0.0 & +  5.00 x_{1} & -5.00 x_{2} & +  4.00 x_{3} & +  1.00 x_{4} & -3.00 x_{5} & -1.00 x_{6} & +  2.00 x_{7} & -5.00 x_{8} & +  3.00 x_{9} & -1.00 x_{10} & -1.00 x_{11} & -2.00 x_{12} & -4.00 x_{13} & -2.00 x_{14} & +  1.00 x_{15}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{15}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,31$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & -9.00 y_{16} & -3.00 y_{17} & +  7.00 y_{18} & -1.00 y_{19} & -10.00 y_{20} & +  9.00 y_{21} & +  6.00 y_{22} & -5.00 y_{23} & -3.00 y_{24} & -9.00 y_{25} & + 10.00 y_{26} & +  3.00 y_{27} &   & -2.00 y_{29} & -9.00 y_{30} & -7.00 y_{31}\\
 y_{2}   &  1.0 & +  5.00 y_{16} & -6.00 y_{17} & -10.00 y_{18} & -5.00 y_{19} & +  8.00 y_{20} & +  9.00 y_{21} & +  7.00 y_{22} & +  1.00 y_{23} & -6.00 y_{24} & -2.00 y_{25} & -9.00 y_{26} & +  2.00 y_{27} & -10.00 y_{28} & +  3.00 y_{29} & -9.00 y_{30} & +  3.00 y_{31}\\
 y_{3}   &  1.0 & +  6.00 y_{16} & +  7.00 y_{17} & +  1.00 y_{18} & +  1.00 y_{19} & +  8.00 y_{20} & -5.00 y_{21} & +  5.00 y_{22} & -9.00 y_{23} & -7.00 y_{24} & +  7.00 y_{25} & -8.00 y_{26} & +  8.00 y_{27} & +  1.00 y_{28} & +  4.00 y_{29} & +  2.00 y_{30} & +  9.00 y_{31}\\
 y_{4}   &  1.0 & -2.00 y_{16} & +  5.00 y_{17} & -2.00 y_{18} & +  5.00 y_{19} & +  4.00 y_{20} & -6.00 y_{21} & +  2.00 y_{22} & +  9.00 y_{23} & -2.00 y_{24} & +  4.00 y_{25} & -3.00 y_{26} &   & +  9.00 y_{28} & +  7.00 y_{29} & +  4.00 y_{30} & -5.00 y_{31}\\
 y_{5}   &  1.0 & -6.00 y_{16} &   & +  2.00 y_{18} & -9.00 y_{19} & -4.00 y_{20} & -1.00 y_{21} & + 10.00 y_{22} & +  8.00 y_{23} & +  3.00 y_{24} & +  3.00 y_{25} & -1.00 y_{26} & +  7.00 y_{27} & -4.00 y_{28} & +  5.00 y_{29} & + 10.00 y_{30} & +  4.00 y_{31}\\
 y_{6}   &  1.0  &   & +  6.00 y_{17} & +  5.00 y_{18} & +  8.00 y_{19} & -10.00 y_{20} & +  9.00 y_{21} & -9.00 y_{22} & -1.00 y_{23} & -10.00 y_{24} & +  5.00 y_{25} & +  1.00 y_{26} & -5.00 y_{27} & +  3.00 y_{28} & -8.00 y_{29} & -8.00 y_{30} & -9.00 y_{31}\\
 y_{7}   &  1.0 & -10.00 y_{16} & -6.00 y_{17} & +  4.00 y_{18} & +  6.00 y_{19} &   & -4.00 y_{21} & -3.00 y_{22} & -1.00 y_{23} & +  6.00 y_{24} & +  4.00 y_{25} & -6.00 y_{26} & -4.00 y_{27} & -4.00 y_{28} & +  9.00 y_{29} & -8.00 y_{30} & + 10.00 y_{31}\\
 y_{8}   &  1.0 & -8.00 y_{16} & -10.00 y_{17} & +  7.00 y_{18} & -8.00 y_{19} & +  7.00 y_{20} & -5.00 y_{21} & -8.00 y_{22} & +  9.00 y_{23} & +  8.00 y_{24} & +  9.00 y_{25} & +  4.00 y_{26} & -10.00 y_{27} & +  9.00 y_{28} & -8.00 y_{29} &   & -10.00 y_{31}\\
 y_{9}   &  1.0 & +  5.00 y_{16} & +  2.00 y_{17} & +  7.00 y_{18} & -5.00 y_{19} & + 10.00 y_{20} & -7.00 y_{21} & +  3.00 y_{22} & -10.00 y_{23} & -10.00 y_{24} & +  6.00 y_{25} & +  9.00 y_{26} & -8.00 y_{27} & -3.00 y_{28} & +  6.00 y_{29} & -2.00 y_{30} & +  9.00 y_{31}\\
 y_{10}   &  1.0  &   & -2.00 y_{17} & -7.00 y_{18} & -1.00 y_{19} & -1.00 y_{20} & -10.00 y_{21} & -1.00 y_{22} & +  5.00 y_{23} & -6.00 y_{24} & + 10.00 y_{25} & -4.00 y_{26} & -7.00 y_{27} & + 10.00 y_{28} & +  7.00 y_{29} & -8.00 y_{30} & -3.00 y_{31}\\
 y_{11}   &  1.0 & +  5.00 y_{16} & +  8.00 y_{17} & -6.00 y_{18} & -5.00 y_{19} & +  8.00 y_{20} & + 10.00 y_{21} & +  1.00 y_{22} & +  8.00 y_{23} & + 10.00 y_{24} & -6.00 y_{25} & +  4.00 y_{26} & +  8.00 y_{27} & -8.00 y_{28} & -7.00 y_{29} & -1.00 y_{30} & +  8.00 y_{31}\\
 y_{12}   &  1.0 & -6.00 y_{16} & +  3.00 y_{17} & +  9.00 y_{18} & +  8.00 y_{19} & +  9.00 y_{20} & -10.00 y_{21} & +  5.00 y_{22} & +  6.00 y_{23} & + 10.00 y_{24} & -6.00 y_{25} & +  4.00 y_{26} & +  4.00 y_{27} & -9.00 y_{28} & +  6.00 y_{29} & -7.00 y_{30} & -4.00 y_{31}\\
 y_{13}   &  1.0 & +  1.00 y_{16} & -3.00 y_{17} & -5.00 y_{18} & -2.00 y_{19} & +  6.00 y_{20} & -2.00 y_{21} & -6.00 y_{22} & +  8.00 y_{23} & -1.00 y_{24} & -2.00 y_{25} & -8.00 y_{26} & +  1.00 y_{27} & +  3.00 y_{28} & -9.00 y_{29} & -2.00 y_{30} & -8.00 y_{31}\\
 y_{14}   &  1.0 & -7.00 y_{16} & -3.00 y_{17} & +  5.00 y_{18} & +  6.00 y_{19} & +  3.00 y_{20} & +  2.00 y_{21} & +  2.00 y_{22} & -2.00 y_{23} & +  1.00 y_{24} & -5.00 y_{25} & +  9.00 y_{26} & + 10.00 y_{27} & +  2.00 y_{28} & +  3.00 y_{29} & -2.00 y_{30} &   \\
 y_{15}   &  1.0 & -8.00 y_{16} & -8.00 y_{17} & -3.00 y_{18} & -1.00 y_{19} & -8.00 y_{20} & +  8.00 y_{21} & -1.00 y_{22} & -6.00 y_{23} & -3.00 y_{24} & -8.00 y_{25} & -7.00 y_{26} & + 10.00 y_{27} &   & -10.00 y_{29} & -10.00 y_{30} & +  8.00 y_{31}\\
\hline
z    &  -0 & + 40.00 y_{16} & +  6.00 y_{17} & -61.00 y_{18} & -13.00 y_{19} & -94.00 y_{20} & + 36.00 y_{21} & +  1.00 y_{22} & -1.00 y_{23} & + 29.00 y_{24} & -34.00 y_{25} & -11.00 y_{26} & -29.00 y_{27} & -38.00 y_{28} &   & + 16.00 y_{30} &   \\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 18 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{31}   &  0.0386507336882 & -0.02 y_{6} & +  0.27 y_{17} & +  1.33 y_{18} & -0.04 y_{8} & +  0.48 y_{20} & -0.24 y_{19} & +  0.06 y_{15} & -0.03 y_{9} & +  0.03 y_{10} & +  0.00 y_{12} & +  1.46 y_{26} & -1.06 y_{27} & +  0.48 y_{25} & -0.10 y_{22} & +  0.29 y_{30} & -0.04 y_{1}\\
 y_{2}   &  1.68865769075 & +  0.80 y_{6} & -22.88 y_{17} & +  4.41 y_{18} & -1.44 y_{8} & + 27.35 y_{20} & -32.17 y_{19} & +  0.42 y_{15} & -0.89 y_{9} & +  0.36 y_{10} & +  0.63 y_{12} & + 11.52 y_{26} & -18.10 y_{27} & + 10.82 y_{25} & +  6.34 y_{22} & +  2.00 y_{30} & -0.57 y_{1}\\
 y_{3}   &  0.927077990934 & -0.32 y_{6} & +  9.27 y_{17} & -2.67 y_{18} & +  0.21 y_{8} & -2.10 y_{20} & + 12.82 y_{19} & -0.16 y_{15} & +  0.86 y_{9} & -0.13 y_{10} & -0.44 y_{12} & -16.68 y_{26} & + 17.59 y_{27} & -0.48 y_{25} & +  2.74 y_{22} & -4.04 y_{30} & +  0.06 y_{1}\\
 y_{4}   &  0.64460738291 & -0.04 y_{6} & +  5.85 y_{17} & + 12.13 y_{18} & -0.34 y_{8} & + 13.18 y_{20} & -0.21 y_{19} & +  0.10 y_{15} & -0.63 y_{9} & +  1.14 y_{10} & +  0.12 y_{12} & +  8.72 y_{26} & -2.17 y_{27} & +  1.26 y_{25} & +  1.33 y_{22} & + 13.42 y_{30} & +  0.01 y_{1}\\
 y_{5}   &  0.734074598179 & +  0.07 y_{6} & -3.28 y_{17} & + 21.82 y_{18} & -1.08 y_{8} & + 11.96 y_{20} & -29.14 y_{19} & +  0.94 y_{15} & -1.12 y_{9} & +  0.99 y_{10} & +  0.87 y_{12} & + 24.41 y_{26} & -17.00 y_{27} & + 18.13 y_{25} & +  5.37 y_{22} & + 28.03 y_{30} & -0.41 y_{1}\\
 y_{7}   &  0.696590562849 & -1.00 y_{6} & +  2.41 y_{17} & + 15.74 y_{18} & -0.57 y_{8} & +  5.59 y_{20} & +  5.88 y_{19} & +  0.73 y_{15} & -0.41 y_{9} & +  0.67 y_{10} & +  0.42 y_{12} & +  2.46 y_{26} & -23.72 y_{27} & + 22.48 y_{25} & -18.80 y_{22} & +  2.99 y_{30} & +  0.47 y_{1}\\
 y_{16}   &  0.141548024112 & +  0.01 y_{6} & -0.51 y_{17} & -0.14 y_{18} & +  0.01 y_{8} & -0.65 y_{20} & +  0.29 y_{19} & -0.06 y_{15} & +  0.02 y_{9} & -0.05 y_{10} & -0.04 y_{12} & -0.29 y_{26} & +  0.83 y_{27} & -0.82 y_{25} & +  0.45 y_{22} & -1.44 y_{30} & -0.03 y_{1}\\
 y_{21}   &  0.125338344941 & -0.01 y_{6} & -0.14 y_{17} & +  1.14 y_{18} & -0.06 y_{8} & +  1.47 y_{20} & -0.48 y_{19} & +  0.01 y_{15} & -0.07 y_{9} & +  0.01 y_{10} & -0.02 y_{12} & +  0.86 y_{26} & -1.15 y_{27} & +  0.98 y_{25} & -0.37 y_{22} & -0.05 y_{30} & +  0.02 y_{1}\\
 y_{23}   &  0.0041917002776 & +  0.06 y_{6} & -0.67 y_{17} & +  1.73 y_{18} & -0.08 y_{8} & +  1.33 y_{20} & -1.97 y_{19} & +  0.06 y_{15} & -0.10 y_{9} & +  0.08 y_{10} & +  0.06 y_{12} & +  2.48 y_{26} & -1.38 y_{27} & +  0.38 y_{25} & +  0.51 y_{22} & +  1.17 y_{30} & -0.08 y_{1}\\
 y_{24}   &  0.138218168067 & -0.07 y_{6} & +  0.64 y_{17} & -0.36 y_{18} & +  0.05 y_{8} & -0.82 y_{20} & +  1.27 y_{19} & -0.05 y_{15} & +  0.01 y_{9} & -0.06 y_{10} & -0.04 y_{12} & -0.86 y_{26} & +  0.27 y_{27} & +  0.16 y_{25} & -0.40 y_{22} & -1.52 y_{30} & +  0.03 y_{1}\\
 y_{11}   &  3.64033447413 & +  0.23 y_{6} & +  0.46 y_{17} & + 15.08 y_{18} & -0.89 y_{8} & + 20.25 y_{20} & -23.59 y_{19} & +  0.62 y_{15} & -1.36 y_{9} & -0.26 y_{10} & +  0.25 y_{12} & + 34.27 y_{26} & -15.87 y_{27} & +  6.85 y_{25} & +  6.64 y_{22} & -7.12 y_{30} & -1.24 y_{1}\\
 y_{28}   &  0.0659879546294 & -0.06 y_{6} & +  0.91 y_{17} & +  0.56 y_{18} & +  0.04 y_{8} & +  0.05 y_{20} & +  1.37 y_{19} & -0.02 y_{15} & -0.00 y_{9} & +  0.02 y_{10} & -0.07 y_{12} & -0.17 y_{26} & +  0.56 y_{27} & -0.49 y_{25} & -0.08 y_{22} & -0.73 y_{30} & +  0.03 y_{1}\\
 y_{13}   &  0.00919340552423 & +  1.02 y_{6} & -7.90 y_{17} & -9.93 y_{18} & +  0.38 y_{8} & +  3.55 y_{20} & -10.88 y_{19} & +  0.12 y_{15} & -0.04 y_{9} & -0.03 y_{10} & +  0.36 y_{12} & -2.92 y_{26} & +  9.16 y_{27} & -14.09 y_{25} & +  9.39 y_{22} & +  2.21 y_{30} & -0.80 y_{1}\\
 y_{14}   &  0.74356831695 & -0.55 y_{6} & +  3.82 y_{17} & +  8.18 y_{18} & -0.10 y_{8} & +  9.28 y_{20} & + 10.66 y_{19} & +  0.14 y_{15} & -0.17 y_{9} & +  0.32 y_{10} & -0.09 y_{12} & +  7.04 y_{26} & +  3.96 y_{27} & +  3.41 y_{25} & -6.54 y_{22} & +  2.95 y_{30} & +  0.71 y_{1}\\
 y_{29}   &  0.073972373027 & -0.05 y_{6} & -0.08 y_{17} & +  0.86 y_{18} & -0.05 y_{8} & +  0.73 y_{20} & -0.10 y_{19} & -0.02 y_{15} & -0.04 y_{9} & +  0.05 y_{10} & -0.01 y_{12} & +  0.16 y_{26} & -0.69 y_{27} & +  0.76 y_{25} & -1.02 y_{22} & +  0.09 y_{30} & +  0.05 y_{1}\\
\hline
z    &  11.6706942801 & -0.08 y_{6} & -34.93 y_{17} & -58.90 y_{18} & -1.50 y_{8} & -93.98 y_{20} & -32.02 y_{19} & -2.81 y_{15} & -1.63 y_{9} & -3.81 y_{10} & -0.99 y_{12} & -12.62 y_{26} & -49.41 y_{27} & -8.44 y_{25} & -3.29 y_{22} & -61.12 y_{30} & -0.86 y_{1}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  0.0774650855091 & +  0.02 x_{31} & -0.80 x_{2} & +  0.32 x_{3} & +  0.04 x_{4} & -0.07 x_{5} & +  1.00 x_{7} & -0.01 x_{16} & +  0.01 x_{21} & -0.06 x_{23} & +  0.07 x_{24} & -0.23 x_{11} & +  0.06 x_{28} & -1.02 x_{13} & +  0.55 x_{14} & +  0.05 x_{29}\\
 x_{17}   &  34.9325249221 & -0.27 x_{31} & + 22.88 x_{2} & -9.27 x_{3} & -5.85 x_{4} & +  3.28 x_{5} & -2.41 x_{7} & +  0.51 x_{16} & +  0.14 x_{21} & +  0.67 x_{23} & -0.64 x_{24} & -0.46 x_{11} & -0.91 x_{28} & +  7.90 x_{13} & -3.82 x_{14} & +  0.08 x_{29}\\
 x_{18}   &  58.8968822719 & -1.33 x_{31} & -4.41 x_{2} & +  2.67 x_{3} & -12.13 x_{4} & -21.82 x_{5} & -15.74 x_{7} & +  0.14 x_{16} & -1.14 x_{21} & -1.73 x_{23} & +  0.36 x_{24} & -15.08 x_{11} & -0.56 x_{28} & +  9.93 x_{13} & -8.18 x_{14} & -0.86 x_{29}\\
 x_{8}   &  1.49670250871 & +  0.04 x_{31} & +  1.44 x_{2} & -0.21 x_{3} & +  0.34 x_{4} & +  1.08 x_{5} & +  0.57 x_{7} & -0.01 x_{16} & +  0.06 x_{21} & +  0.08 x_{23} & -0.05 x_{24} & +  0.89 x_{11} & -0.04 x_{28} & -0.38 x_{13} & +  0.10 x_{14} & +  0.05 x_{29}\\
 x_{20}   &  93.9779936248 & -0.48 x_{31} & -27.35 x_{2} & +  2.10 x_{3} & -13.18 x_{4} & -11.96 x_{5} & -5.59 x_{7} & +  0.65 x_{16} & -1.47 x_{21} & -1.33 x_{23} & +  0.82 x_{24} & -20.25 x_{11} & -0.05 x_{28} & -3.55 x_{13} & -9.28 x_{14} & -0.73 x_{29}\\
 x_{19}   &  32.0204694487 & +  0.24 x_{31} & + 32.17 x_{2} & -12.82 x_{3} & +  0.21 x_{4} & + 29.14 x_{5} & -5.88 x_{7} & -0.29 x_{16} & +  0.48 x_{21} & +  1.97 x_{23} & -1.27 x_{24} & + 23.59 x_{11} & -1.37 x_{28} & + 10.88 x_{13} & -10.66 x_{14} & +  0.10 x_{29}\\
 x_{15}   &  2.8071289519 & -0.06 x_{31} & -0.42 x_{2} & +  0.16 x_{3} & -0.10 x_{4} & -0.94 x_{5} & -0.73 x_{7} & +  0.06 x_{16} & -0.01 x_{21} & -0.06 x_{23} & +  0.05 x_{24} & -0.62 x_{11} & +  0.02 x_{28} & -0.12 x_{13} & -0.14 x_{14} & +  0.02 x_{29}\\
 x_{9}   &  1.6257656783 & +  0.03 x_{31} & +  0.89 x_{2} & -0.86 x_{3} & +  0.63 x_{4} & +  1.12 x_{5} & +  0.41 x_{7} & -0.02 x_{16} & +  0.07 x_{21} & +  0.10 x_{23} & -0.01 x_{24} & +  1.36 x_{11} & +  0.00 x_{28} & +  0.04 x_{13} & +  0.17 x_{14} & +  0.04 x_{29}\\
 x_{10}   &  3.81075985359 & -0.03 x_{31} & -0.36 x_{2} & +  0.13 x_{3} & -1.14 x_{4} & -0.99 x_{5} & -0.67 x_{7} & +  0.05 x_{16} & -0.01 x_{21} & -0.08 x_{23} & +  0.06 x_{24} & +  0.26 x_{11} & -0.02 x_{28} & +  0.03 x_{13} & -0.32 x_{14} & -0.05 x_{29}\\
 x_{12}   &  0.992557703992 & -0.00 x_{31} & -0.63 x_{2} & +  0.44 x_{3} & -0.12 x_{4} & -0.87 x_{5} & -0.42 x_{7} & +  0.04 x_{16} & +  0.02 x_{21} & -0.06 x_{23} & +  0.04 x_{24} & -0.25 x_{11} & +  0.07 x_{28} & -0.36 x_{13} & +  0.09 x_{14} & +  0.01 x_{29}\\
 x_{26}   &  12.623400056 & -1.46 x_{31} & -11.52 x_{2} & + 16.68 x_{3} & -8.72 x_{4} & -24.41 x_{5} & -2.46 x_{7} & +  0.29 x_{16} & -0.86 x_{21} & -2.48 x_{23} & +  0.86 x_{24} & -34.27 x_{11} & +  0.17 x_{28} & +  2.92 x_{13} & -7.04 x_{14} & -0.16 x_{29}\\
 x_{27}   &  49.4133310869 & +  1.06 x_{31} & + 18.10 x_{2} & -17.59 x_{3} & +  2.17 x_{4} & + 17.00 x_{5} & + 23.72 x_{7} & -0.83 x_{16} & +  1.15 x_{21} & +  1.38 x_{23} & -0.27 x_{24} & + 15.87 x_{11} & -0.56 x_{28} & -9.16 x_{13} & -3.96 x_{14} & +  0.69 x_{29}\\
 x_{25}   &  8.43536771022 & -0.48 x_{31} & -10.82 x_{2} & +  0.48 x_{3} & -1.26 x_{4} & -18.13 x_{5} & -22.48 x_{7} & +  0.82 x_{16} & -0.98 x_{21} & -0.38 x_{23} & -0.16 x_{24} & -6.85 x_{11} & +  0.49 x_{28} & + 14.09 x_{13} & -3.41 x_{14} & -0.76 x_{29}\\
 x_{22}   &  3.28672210143 & +  0.10 x_{31} & -6.34 x_{2} & -2.74 x_{3} & -1.33 x_{4} & -5.37 x_{5} & + 18.80 x_{7} & -0.45 x_{16} & +  0.37 x_{21} & -0.51 x_{23} & +  0.40 x_{24} & -6.64 x_{11} & +  0.08 x_{28} & -9.39 x_{13} & +  6.54 x_{14} & +  1.02 x_{29}\\
 x_{30}   &  61.1193547991 & -0.29 x_{31} & -2.00 x_{2} & +  4.04 x_{3} & -13.42 x_{4} & -28.03 x_{5} & -2.99 x_{7} & +  1.44 x_{16} & +  0.05 x_{21} & -1.17 x_{23} & +  1.52 x_{24} & +  7.12 x_{11} & +  0.73 x_{28} & -2.21 x_{13} & -2.95 x_{14} & -0.09 x_{29}\\
 x_{1}   &  0.860314498074 & +  0.04 x_{31} & +  0.57 x_{2} & -0.06 x_{3} & -0.01 x_{4} & +  0.41 x_{5} & -0.47 x_{7} & +  0.03 x_{16} & -0.02 x_{21} & +  0.08 x_{23} & -0.03 x_{24} & +  1.24 x_{11} & -0.03 x_{28} & +  0.80 x_{13} & -0.71 x_{14} & -0.05 x_{29}\\
\hline
z    &  -11.6706942801 & -0.04 x_{31} & -1.69 x_{2} & -0.93 x_{3} & -0.64 x_{4} & -0.73 x_{5} & -0.70 x_{7} & -0.14 x_{16} & -0.13 x_{21} & -0.00 x_{23} & -0.14 x_{24} & -3.64 x_{11} & -0.07 x_{28} & -0.01 x_{13} & -0.74 x_{14} & -0.07 x_{29}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  0.0774650855091 & +  0.02 x_{31} & -0.80 x_{2} & +  0.32 x_{3} & +  0.04 x_{4} & -0.07 x_{5} & +  1.00 x_{7} & -0.01 x_{16} & +  0.01 x_{21} & -0.06 x_{23} & +  0.07 x_{24} & -0.23 x_{11} & +  0.06 x_{28} & -1.02 x_{13} & +  0.55 x_{14} & +  0.05 x_{29}\\
 x_{17}   &  34.9325249221 & -0.27 x_{31} & + 22.88 x_{2} & -9.27 x_{3} & -5.85 x_{4} & +  3.28 x_{5} & -2.41 x_{7} & +  0.51 x_{16} & +  0.14 x_{21} & +  0.67 x_{23} & -0.64 x_{24} & -0.46 x_{11} & -0.91 x_{28} & +  7.90 x_{13} & -3.82 x_{14} & +  0.08 x_{29}\\
 x_{18}   &  58.8968822719 & -1.33 x_{31} & -4.41 x_{2} & +  2.67 x_{3} & -12.13 x_{4} & -21.82 x_{5} & -15.74 x_{7} & +  0.14 x_{16} & -1.14 x_{21} & -1.73 x_{23} & +  0.36 x_{24} & -15.08 x_{11} & -0.56 x_{28} & +  9.93 x_{13} & -8.18 x_{14} & -0.86 x_{29}\\
 x_{8}   &  1.49670250871 & +  0.04 x_{31} & +  1.44 x_{2} & -0.21 x_{3} & +  0.34 x_{4} & +  1.08 x_{5} & +  0.57 x_{7} & -0.01 x_{16} & +  0.06 x_{21} & +  0.08 x_{23} & -0.05 x_{24} & +  0.89 x_{11} & -0.04 x_{28} & -0.38 x_{13} & +  0.10 x_{14} & +  0.05 x_{29}\\
 x_{20}   &  93.9779936248 & -0.48 x_{31} & -27.35 x_{2} & +  2.10 x_{3} & -13.18 x_{4} & -11.96 x_{5} & -5.59 x_{7} & +  0.65 x_{16} & -1.47 x_{21} & -1.33 x_{23} & +  0.82 x_{24} & -20.25 x_{11} & -0.05 x_{28} & -3.55 x_{13} & -9.28 x_{14} & -0.73 x_{29}\\
 x_{19}   &  32.0204694487 & +  0.24 x_{31} & + 32.17 x_{2} & -12.82 x_{3} & +  0.21 x_{4} & + 29.14 x_{5} & -5.88 x_{7} & -0.29 x_{16} & +  0.48 x_{21} & +  1.97 x_{23} & -1.27 x_{24} & + 23.59 x_{11} & -1.37 x_{28} & + 10.88 x_{13} & -10.66 x_{14} & +  0.10 x_{29}\\
 x_{15}   &  2.8071289519 & -0.06 x_{31} & -0.42 x_{2} & +  0.16 x_{3} & -0.10 x_{4} & -0.94 x_{5} & -0.73 x_{7} & +  0.06 x_{16} & -0.01 x_{21} & -0.06 x_{23} & +  0.05 x_{24} & -0.62 x_{11} & +  0.02 x_{28} & -0.12 x_{13} & -0.14 x_{14} & +  0.02 x_{29}\\
 x_{9}   &  1.6257656783 & +  0.03 x_{31} & +  0.89 x_{2} & -0.86 x_{3} & +  0.63 x_{4} & +  1.12 x_{5} & +  0.41 x_{7} & -0.02 x_{16} & +  0.07 x_{21} & +  0.10 x_{23} & -0.01 x_{24} & +  1.36 x_{11} & +  0.00 x_{28} & +  0.04 x_{13} & +  0.17 x_{14} & +  0.04 x_{29}\\
 x_{10}   &  3.81075985359 & -0.03 x_{31} & -0.36 x_{2} & +  0.13 x_{3} & -1.14 x_{4} & -0.99 x_{5} & -0.67 x_{7} & +  0.05 x_{16} & -0.01 x_{21} & -0.08 x_{23} & +  0.06 x_{24} & +  0.26 x_{11} & -0.02 x_{28} & +  0.03 x_{13} & -0.32 x_{14} & -0.05 x_{29}\\
 x_{12}   &  0.992557703992 & -0.00 x_{31} & -0.63 x_{2} & +  0.44 x_{3} & -0.12 x_{4} & -0.87 x_{5} & -0.42 x_{7} & +  0.04 x_{16} & +  0.02 x_{21} & -0.06 x_{23} & +  0.04 x_{24} & -0.25 x_{11} & +  0.07 x_{28} & -0.36 x_{13} & +  0.09 x_{14} & +  0.01 x_{29}\\
 x_{26}   &  12.623400056 & -1.46 x_{31} & -11.52 x_{2} & + 16.68 x_{3} & -8.72 x_{4} & -24.41 x_{5} & -2.46 x_{7} & +  0.29 x_{16} & -0.86 x_{21} & -2.48 x_{23} & +  0.86 x_{24} & -34.27 x_{11} & +  0.17 x_{28} & +  2.92 x_{13} & -7.04 x_{14} & -0.16 x_{29}\\
 x_{27}   &  49.4133310869 & +  1.06 x_{31} & + 18.10 x_{2} & -17.59 x_{3} & +  2.17 x_{4} & + 17.00 x_{5} & + 23.72 x_{7} & -0.83 x_{16} & +  1.15 x_{21} & +  1.38 x_{23} & -0.27 x_{24} & + 15.87 x_{11} & -0.56 x_{28} & -9.16 x_{13} & -3.96 x_{14} & +  0.69 x_{29}\\
 x_{25}   &  8.43536771022 & -0.48 x_{31} & -10.82 x_{2} & +  0.48 x_{3} & -1.26 x_{4} & -18.13 x_{5} & -22.48 x_{7} & +  0.82 x_{16} & -0.98 x_{21} & -0.38 x_{23} & -0.16 x_{24} & -6.85 x_{11} & +  0.49 x_{28} & + 14.09 x_{13} & -3.41 x_{14} & -0.76 x_{29}\\
 x_{22}   &  3.28672210143 & +  0.10 x_{31} & -6.34 x_{2} & -2.74 x_{3} & -1.33 x_{4} & -5.37 x_{5} & + 18.80 x_{7} & -0.45 x_{16} & +  0.37 x_{21} & -0.51 x_{23} & +  0.40 x_{24} & -6.64 x_{11} & +  0.08 x_{28} & -9.39 x_{13} & +  6.54 x_{14} & +  1.02 x_{29}\\
 x_{30}   &  61.1193547991 & -0.29 x_{31} & -2.00 x_{2} & +  4.04 x_{3} & -13.42 x_{4} & -28.03 x_{5} & -2.99 x_{7} & +  1.44 x_{16} & +  0.05 x_{21} & -1.17 x_{23} & +  1.52 x_{24} & +  7.12 x_{11} & +  0.73 x_{28} & -2.21 x_{13} & -2.95 x_{14} & -0.09 x_{29}\\
 x_{1}   &  0.860314498074 & +  0.04 x_{31} & +  0.57 x_{2} & -0.06 x_{3} & -0.01 x_{4} & +  0.41 x_{5} & -0.47 x_{7} & +  0.03 x_{16} & -0.02 x_{21} & +  0.08 x_{23} & -0.03 x_{24} & +  1.24 x_{11} & -0.03 x_{28} & +  0.80 x_{13} & -0.71 x_{14} & -0.05 x_{29}\\
\hline
z    &  -1.37085441345 & +  0.06 x_{31} & -4.71 x_{2} & +  1.00 x_{3} & +  2.35 x_{4} & -1.14 x_{5} & -2.21 x_{7} & +  0.13 x_{16} & -0.23 x_{21} & +  0.50 x_{23} & -0.13 x_{24} & +  4.67 x_{11} & -0.16 x_{28} & +  3.58 x_{13} & -6.08 x_{14} & -0.41 x_{29}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  0.0774650855091 & +  0.02 x_{31} & -0.80 x_{2} & +  0.32 x_{3} & +  0.04 x_{4} & -0.07 x_{5} & +  1.00 x_{7} & -0.01 x_{16} & +  0.01 x_{21} & -0.06 x_{23} & +  0.07 x_{24} & -0.23 x_{11} & +  0.06 x_{28} & -1.02 x_{13} & +  0.55 x_{14} & +  0.05 x_{29}\\
 x_{17}   &  34.9325249221 & -0.27 x_{31} & + 22.88 x_{2} & -9.27 x_{3} & -5.85 x_{4} & +  3.28 x_{5} & -2.41 x_{7} & +  0.51 x_{16} & +  0.14 x_{21} & +  0.67 x_{23} & -0.64 x_{24} & -0.46 x_{11} & -0.91 x_{28} & +  7.90 x_{13} & -3.82 x_{14} & +  0.08 x_{29}\\
 x_{18}   &  58.8968822719 & -1.33 x_{31} & -4.41 x_{2} & +  2.67 x_{3} & -12.13 x_{4} & -21.82 x_{5} & -15.74 x_{7} & +  0.14 x_{16} & -1.14 x_{21} & -1.73 x_{23} & +  0.36 x_{24} & -15.08 x_{11} & -0.56 x_{28} & +  9.93 x_{13} & -8.18 x_{14} & -0.86 x_{29}\\
 x_{8}   &  1.49670250871 & +  0.04 x_{31} & +  1.44 x_{2} & -0.21 x_{3} & +  0.34 x_{4} & +  1.08 x_{5} & +  0.57 x_{7} & -0.01 x_{16} & +  0.06 x_{21} & +  0.08 x_{23} & -0.05 x_{24} & +  0.89 x_{11} & -0.04 x_{28} & -0.38 x_{13} & +  0.10 x_{14} & +  0.05 x_{29}\\
 x_{20}   &  93.9779936248 & -0.48 x_{31} & -27.35 x_{2} & +  2.10 x_{3} & -13.18 x_{4} & -11.96 x_{5} & -5.59 x_{7} & +  0.65 x_{16} & -1.47 x_{21} & -1.33 x_{23} & +  0.82 x_{24} & -20.25 x_{11} & -0.05 x_{28} & -3.55 x_{13} & -9.28 x_{14} & -0.73 x_{29}\\
 x_{19}   &  32.0204694487 & +  0.24 x_{31} & + 32.17 x_{2} & -12.82 x_{3} & +  0.21 x_{4} & + 29.14 x_{5} & -5.88 x_{7} & -0.29 x_{16} & +  0.48 x_{21} & +  1.97 x_{23} & -1.27 x_{24} & + 23.59 x_{11} & -1.37 x_{28} & + 10.88 x_{13} & -10.66 x_{14} & +  0.10 x_{29}\\
 x_{15}   &  2.8071289519 & -0.06 x_{31} & -0.42 x_{2} & +  0.16 x_{3} & -0.10 x_{4} & -0.94 x_{5} & -0.73 x_{7} & +  0.06 x_{16} & -0.01 x_{21} & -0.06 x_{23} & +  0.05 x_{24} & -0.62 x_{11} & +  0.02 x_{28} & -0.12 x_{13} & -0.14 x_{14} & +  0.02 x_{29}\\
 x_{9}   &  1.6257656783 & +  0.03 x_{31} & +  0.89 x_{2} & -0.86 x_{3} & +  0.63 x_{4} & +  1.12 x_{5} & +  0.41 x_{7} & -0.02 x_{16} & +  0.07 x_{21} & +  0.10 x_{23} & -0.01 x_{24} & +  1.36 x_{11} & +  0.00 x_{28} & +  0.04 x_{13} & +  0.17 x_{14} & +  0.04 x_{29}\\
 x_{10}   &  3.81075985359 & -0.03 x_{31} & -0.36 x_{2} & +  0.13 x_{3} & -1.14 x_{4} & -0.99 x_{5} & -0.67 x_{7} & +  0.05 x_{16} & -0.01 x_{21} & -0.08 x_{23} & +  0.06 x_{24} & +  0.26 x_{11} & -0.02 x_{28} & +  0.03 x_{13} & -0.32 x_{14} & -0.05 x_{29}\\
 x_{12}   &  0.992557703992 & -0.00 x_{31} & -0.63 x_{2} & +  0.44 x_{3} & -0.12 x_{4} & -0.87 x_{5} & -0.42 x_{7} & +  0.04 x_{16} & +  0.02 x_{21} & -0.06 x_{23} & +  0.04 x_{24} & -0.25 x_{11} & +  0.07 x_{28} & -0.36 x_{13} & +  0.09 x_{14} & +  0.01 x_{29}\\
 x_{26}   &  12.623400056 & -1.46 x_{31} & -11.52 x_{2} & + 16.68 x_{3} & -8.72 x_{4} & -24.41 x_{5} & -2.46 x_{7} & +  0.29 x_{16} & -0.86 x_{21} & -2.48 x_{23} & +  0.86 x_{24} & -34.27 x_{11} & +  0.17 x_{28} & +  2.92 x_{13} & -7.04 x_{14} & -0.16 x_{29}\\
 x_{27}   &  49.4133310869 & +  1.06 x_{31} & + 18.10 x_{2} & -17.59 x_{3} & +  2.17 x_{4} & + 17.00 x_{5} & + 23.72 x_{7} & -0.83 x_{16} & +  1.15 x_{21} & +  1.38 x_{23} & -0.27 x_{24} & + 15.87 x_{11} & -0.56 x_{28} & -9.16 x_{13} & -3.96 x_{14} & +  0.69 x_{29}\\
 x_{25}   &  8.43536771022 & -0.48 x_{31} & -10.82 x_{2} & +  0.48 x_{3} & -1.26 x_{4} & -18.13 x_{5} & -22.48 x_{7} & +  0.82 x_{16} & -0.98 x_{21} & -0.38 x_{23} & -0.16 x_{24} & -6.85 x_{11} & +  0.49 x_{28} & + 14.09 x_{13} & -3.41 x_{14} & -0.76 x_{29}\\
 x_{22}   &  3.28672210143 & +  0.10 x_{31} & -6.34 x_{2} & -2.74 x_{3} & -1.33 x_{4} & -5.37 x_{5} & + 18.80 x_{7} & -0.45 x_{16} & +  0.37 x_{21} & -0.51 x_{23} & +  0.40 x_{24} & -6.64 x_{11} & +  0.08 x_{28} & -9.39 x_{13} & +  6.54 x_{14} & +  1.02 x_{29}\\
 x_{30}   &  61.1193547991 & -0.29 x_{31} & -2.00 x_{2} & +  4.04 x_{3} & -13.42 x_{4} & -28.03 x_{5} & -2.99 x_{7} & +  1.44 x_{16} & +  0.05 x_{21} & -1.17 x_{23} & +  1.52 x_{24} & +  7.12 x_{11} & +  0.73 x_{28} & -2.21 x_{13} & -2.95 x_{14} & -0.09 x_{29}\\
 x_{1}   &  0.860314498074 & +  0.04 x_{31} & +  0.57 x_{2} & -0.06 x_{3} & -0.01 x_{4} & +  0.41 x_{5} & -0.47 x_{7} & +  0.03 x_{16} & -0.02 x_{21} & +  0.08 x_{23} & -0.03 x_{24} & +  1.24 x_{11} & -0.03 x_{28} & +  0.80 x_{13} & -0.71 x_{14} & -0.05 x_{29}\\
\hline
z    &  -1.37085441345 & +  0.06 x_{31} & -4.71 x_{2} & +  1.00 x_{3} & +  2.35 x_{4} & -1.14 x_{5} & -2.21 x_{7} & +  0.13 x_{16} & -0.23 x_{21} & +  0.50 x_{23} & -0.13 x_{24} & +  4.67 x_{11} & -0.16 x_{28} & +  3.58 x_{13} & -6.08 x_{14} & -0.41 x_{29}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{22} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  0.466030348747 & +  0.04 x_{31} & -1.55 x_{2} & -0.12 x_{22} & -0.11 x_{4} & -0.70 x_{5} & +  3.22 x_{7} & -0.06 x_{16} & +  0.06 x_{21} & -0.12 x_{23} & +  0.12 x_{24} & -1.02 x_{11} & +  0.07 x_{28} & -2.13 x_{13} & +  1.32 x_{14} & +  0.17 x_{29}\\
 x_{17}   &  23.7929544734 & -0.60 x_{31} & + 44.36 x_{2} & +  3.39 x_{22} & -1.33 x_{4} & + 21.49 x_{5} & -66.14 x_{7} & +  2.04 x_{16} & -1.10 x_{21} & +  2.40 x_{23} & -2.00 x_{24} & + 22.06 x_{11} & -1.19 x_{28} & + 39.72 x_{13} & -25.99 x_{14} & -3.37 x_{29}\\
 x_{18}   &  62.1067892398 & -1.23 x_{31} & -10.60 x_{2} & -0.98 x_{22} & -13.43 x_{4} & -27.07 x_{5} & +  2.62 x_{7} & -0.30 x_{16} & -0.79 x_{21} & -2.23 x_{23} & +  0.75 x_{24} & -21.57 x_{11} & -0.48 x_{28} & +  0.76 x_{13} & -1.79 x_{14} & +  0.13 x_{29}\\
 x_{8}   &  1.24714277997 & +  0.03 x_{31} & +  1.92 x_{2} & +  0.08 x_{22} & +  0.44 x_{4} & +  1.48 x_{5} & -0.85 x_{7} & +  0.02 x_{16} & +  0.03 x_{21} & +  0.12 x_{23} & -0.08 x_{24} & +  1.39 x_{11} & -0.04 x_{28} & +  0.34 x_{13} & -0.40 x_{14} & -0.02 x_{29}\\
 x_{20}   &  96.5074509889 & -0.41 x_{31} & -32.23 x_{2} & -0.77 x_{22} & -14.21 x_{4} & -16.10 x_{5} & +  8.88 x_{7} & +  0.30 x_{16} & -1.18 x_{21} & -1.72 x_{23} & +  1.13 x_{24} & -25.36 x_{11} & +  0.01 x_{28} & -10.78 x_{13} & -4.25 x_{14} & +  0.06 x_{29}\\
 x_{19}   &  16.6121142377 & -0.22 x_{31} & + 61.88 x_{2} & +  4.69 x_{22} & +  6.47 x_{4} & + 54.33 x_{5} & -94.03 x_{7} & +  1.83 x_{16} & -1.24 x_{21} & +  4.37 x_{23} & -3.16 x_{24} & + 54.74 x_{11} & -1.74 x_{28} & + 54.89 x_{13} & -41.33 x_{14} & -4.68 x_{29}\\
 x_{15}   &  2.99845559886 & -0.06 x_{31} & -0.79 x_{2} & -0.06 x_{22} & -0.18 x_{4} & -1.25 x_{5} & +  0.36 x_{7} & +  0.03 x_{16} & +  0.02 x_{21} & -0.09 x_{23} & +  0.07 x_{24} & -1.01 x_{11} & +  0.02 x_{28} & -0.66 x_{13} & +  0.24 x_{14} & +  0.08 x_{29}\\
 x_{9}   &  0.596136574285 & +  0.00 x_{31} & +  2.88 x_{2} & +  0.31 x_{22} & +  1.04 x_{4} & +  2.80 x_{5} & -5.48 x_{7} & +  0.13 x_{16} & -0.04 x_{21} & +  0.26 x_{23} & -0.13 x_{24} & +  3.44 x_{11} & -0.02 x_{28} & +  2.98 x_{13} & -1.88 x_{14} & -0.28 x_{29}\\
 x_{10}   &  3.96538806667 & -0.03 x_{31} & -0.66 x_{2} & -0.05 x_{22} & -1.20 x_{4} & -1.25 x_{5} & +  0.22 x_{7} & +  0.03 x_{16} & +  0.00 x_{21} & -0.10 x_{23} & +  0.08 x_{24} & -0.05 x_{11} & -0.02 x_{28} & -0.41 x_{13} & -0.01 x_{14} & +  0.00 x_{29}\\
 x_{12}   &  1.52105945344 & +  0.01 x_{31} & -1.65 x_{2} & -0.16 x_{22} & -0.33 x_{4} & -1.73 x_{5} & +  2.61 x_{7} & -0.03 x_{16} & +  0.08 x_{21} & -0.14 x_{23} & +  0.11 x_{24} & -1.31 x_{11} & +  0.09 x_{28} & -1.86 x_{13} & +  1.15 x_{14} & +  0.17 x_{29}\\
 x_{26}   &  32.6716580803 & -0.86 x_{31} & -50.19 x_{2} & -6.10 x_{22} & -16.86 x_{4} & -57.18 x_{5} & + 112.22 x_{7} & -2.47 x_{16} & +  1.38 x_{21} & -5.60 x_{23} & +  3.32 x_{24} & -74.80 x_{11} & +  0.66 x_{28} & -54.35 x_{13} & + 32.86 x_{14} & +  6.06 x_{29}\\
 x_{27}   &  28.2795343836 & +  0.43 x_{31} & + 58.86 x_{2} & +  6.43 x_{22} & + 10.75 x_{4} & + 51.55 x_{5} & -97.18 x_{7} & +  2.07 x_{16} & -1.21 x_{21} & +  4.67 x_{23} & -2.86 x_{24} & + 58.59 x_{11} & -1.08 x_{28} & + 51.21 x_{13} & -46.03 x_{14} & -5.87 x_{29}\\
 x_{25}   &  9.01671568465 & -0.47 x_{31} & -11.94 x_{2} & -0.18 x_{22} & -1.49 x_{4} & -19.08 x_{5} & -19.16 x_{7} & +  0.74 x_{16} & -0.92 x_{21} & -0.47 x_{23} & -0.09 x_{24} & -8.03 x_{11} & +  0.51 x_{28} & + 12.43 x_{13} & -2.26 x_{14} & -0.58 x_{29}\\
 x_{3}   &  1.20168807117 & +  0.04 x_{31} & -2.32 x_{2} & -0.37 x_{22} & -0.49 x_{4} & -1.96 x_{5} & +  6.87 x_{7} & -0.17 x_{16} & +  0.13 x_{21} & -0.19 x_{23} & +  0.15 x_{24} & -2.43 x_{11} & +  0.03 x_{28} & -3.43 x_{13} & +  2.39 x_{14} & +  0.37 x_{29}\\
 x_{30}   &  65.9718840394 & -0.14 x_{31} & -11.36 x_{2} & -1.48 x_{22} & -15.39 x_{4} & -35.96 x_{5} & + 24.77 x_{7} & +  0.77 x_{16} & +  0.60 x_{21} & -1.92 x_{23} & +  2.11 x_{24} & -2.69 x_{11} & +  0.85 x_{28} & -16.07 x_{13} & +  6.71 x_{14} & +  1.41 x_{29}\\
 x_{1}   &  0.788851949684 & +  0.04 x_{31} & +  0.70 x_{2} & +  0.02 x_{22} & +  0.02 x_{4} & +  0.52 x_{5} & -0.87 x_{7} & +  0.04 x_{16} & -0.03 x_{21} & +  0.09 x_{23} & -0.04 x_{24} & +  1.38 x_{11} & -0.04 x_{28} & +  1.01 x_{13} & -0.85 x_{14} & -0.07 x_{29}\\
\hline
z    &  -0.171373867328 & +  0.09 x_{31} & -7.02 x_{2} & -0.36 x_{22} & +  1.87 x_{4} & -3.10 x_{5} & +  4.66 x_{7} & -0.03 x_{16} & -0.10 x_{21} & +  0.32 x_{23} & +  0.02 x_{24} & +  2.25 x_{11} & -0.13 x_{28} & +  0.15 x_{13} & -3.70 x_{14} & -0.04 x_{29}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{26} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  0.245937047507 & +  0.04 x_{31} & -1.21 x_{2} & -0.08 x_{22} & +  0.01 x_{26} & -0.32 x_{5} & +  2.46 x_{7} & -0.05 x_{16} & +  0.05 x_{21} & -0.08 x_{23} & +  0.10 x_{24} & -0.51 x_{11} & +  0.06 x_{28} & -1.76 x_{13} & +  1.10 x_{14} & +  0.13 x_{29}\\
 x_{17}   &  21.2195408897 & -0.53 x_{31} & + 48.32 x_{2} & +  3.87 x_{22} & +  0.08 x_{26} & + 25.99 x_{5} & -74.98 x_{7} & +  2.23 x_{16} & -1.21 x_{21} & +  2.84 x_{23} & -2.26 x_{24} & + 27.95 x_{11} & -1.24 x_{28} & + 44.00 x_{13} & -28.58 x_{14} & -3.85 x_{29}\\
 x_{18}   &  36.0839483943 & -0.54 x_{31} & + 29.38 x_{2} & +  3.88 x_{22} & +  0.80 x_{26} & + 18.48 x_{5} & -86.76 x_{7} & +  1.67 x_{16} & -1.89 x_{21} & +  2.23 x_{23} & -1.90 x_{24} & + 38.01 x_{11} & -1.01 x_{28} & + 44.05 x_{13} & -27.96 x_{14} & -4.69 x_{29}\\
 x_{8}   &  2.10470919385 & +  0.01 x_{31} & +  0.60 x_{2} & -0.08 x_{22} & -0.03 x_{26} & -0.02 x_{5} & +  2.09 x_{7} & -0.04 x_{16} & +  0.07 x_{21} & -0.03 x_{23} & +  0.01 x_{24} & -0.57 x_{11} & -0.02 x_{28} & -1.09 x_{13} & +  0.47 x_{14} & +  0.14 x_{29}\\
 x_{20}   &  68.9823256245 & +  0.32 x_{31} & + 10.05 x_{2} & +  4.37 x_{22} & +  0.84 x_{26} & + 32.08 x_{5} & -85.67 x_{7} & +  2.38 x_{16} & -2.35 x_{21} & +  3.00 x_{23} & -1.67 x_{24} & + 37.65 x_{11} & -0.54 x_{28} & + 35.01 x_{13} & -31.93 x_{14} & -5.05 x_{29}\\
 x_{19}   &  29.1421408721 & -0.55 x_{31} & + 42.63 x_{2} & +  2.35 x_{22} & -0.38 x_{26} & + 32.40 x_{5} & -50.99 x_{7} & +  0.88 x_{16} & -0.71 x_{21} & +  2.22 x_{23} & -1.88 x_{24} & + 26.05 x_{11} & -1.49 x_{28} & + 34.05 x_{13} & -28.73 x_{14} & -2.35 x_{29}\\
 x_{15}   &  2.65592225083 & -0.05 x_{31} & -0.27 x_{2} & +  0.01 x_{22} & +  0.01 x_{26} & -0.65 x_{5} & -0.82 x_{7} & +  0.06 x_{16} & +  0.00 x_{21} & -0.03 x_{23} & +  0.04 x_{24} & -0.23 x_{11} & +  0.02 x_{28} & -0.09 x_{13} & -0.11 x_{14} & +  0.02 x_{29}\\
 x_{9}   &  2.62019208239 & -0.05 x_{31} & -0.23 x_{2} & -0.06 x_{22} & -0.06 x_{26} & -0.74 x_{5} & +  1.47 x_{7} & -0.03 x_{16} & +  0.04 x_{21} & -0.09 x_{23} & +  0.07 x_{24} & -1.19 x_{11} & +  0.02 x_{28} & -0.39 x_{13} & +  0.16 x_{14} & +  0.09 x_{29}\\
 x_{10}   &  1.6362860645 & +  0.03 x_{31} & +  2.92 x_{2} & +  0.39 x_{22} & +  0.07 x_{26} & +  2.83 x_{5} & -7.78 x_{7} & +  0.20 x_{16} & -0.09 x_{21} & +  0.30 x_{23} & -0.16 x_{24} & +  5.28 x_{11} & -0.06 x_{28} & +  3.47 x_{13} & -2.35 x_{14} & -0.43 x_{29}\\
 x_{12}   &  0.87525312813 & +  0.03 x_{31} & -0.66 x_{2} & -0.04 x_{22} & +  0.02 x_{26} & -0.60 x_{5} & +  0.39 x_{7} & +  0.02 x_{16} & +  0.05 x_{21} & -0.03 x_{23} & +  0.04 x_{24} & +  0.16 x_{11} & +  0.07 x_{28} & -0.79 x_{13} & +  0.50 x_{14} & +  0.05 x_{29}\\
 x_{4}   &  1.93763052446 & -0.05 x_{31} & -2.98 x_{2} & -0.36 x_{22} & -0.06 x_{26} & -3.39 x_{5} & +  6.66 x_{7} & -0.15 x_{16} & +  0.08 x_{21} & -0.33 x_{23} & +  0.20 x_{24} & -4.44 x_{11} & +  0.04 x_{28} & -3.22 x_{13} & +  1.95 x_{14} & +  0.36 x_{29}\\
 x_{27}   &  49.1077867732 & -0.12 x_{31} & + 26.86 x_{2} & +  2.54 x_{22} & -0.64 x_{26} & + 15.10 x_{5} & -25.63 x_{7} & +  0.50 x_{16} & -0.33 x_{21} & +  1.10 x_{23} & -0.74 x_{24} & + 10.91 x_{11} & -0.66 x_{28} & + 16.56 x_{13} & -25.08 x_{14} & -2.00 x_{29}\\
 x_{25}   &  6.12529744483 & -0.39 x_{31} & -7.50 x_{2} & +  0.36 x_{22} & +  0.09 x_{26} & -14.02 x_{5} & -29.09 x_{7} & +  0.96 x_{16} & -1.04 x_{21} & +  0.03 x_{23} & -0.38 x_{24} & -1.41 x_{11} & +  0.45 x_{28} & + 17.24 x_{13} & -5.17 x_{14} & -1.11 x_{29}\\
 x_{3}   &  0.25612514804 & +  0.06 x_{31} & -0.86 x_{2} & -0.19 x_{22} & +  0.03 x_{26} & -0.31 x_{5} & +  3.63 x_{7} & -0.09 x_{16} & +  0.09 x_{21} & -0.02 x_{23} & +  0.05 x_{24} & -0.26 x_{11} & +  0.01 x_{28} & -1.86 x_{13} & +  1.44 x_{14} & +  0.20 x_{29}\\
 x_{30}   &  36.1472709973 & +  0.65 x_{31} & + 34.45 x_{2} & +  4.09 x_{22} & +  0.91 x_{26} & + 16.24 x_{5} & -77.67 x_{7} & +  3.03 x_{16} & -0.66 x_{21} & +  3.19 x_{23} & -0.92 x_{24} & + 65.59 x_{11} & +  0.24 x_{28} & + 33.54 x_{13} & -23.29 x_{14} & -4.12 x_{29}\\
 x_{1}   &  0.825097769454 & +  0.04 x_{31} & +  0.65 x_{2} & +  0.01 x_{22} & -0.00 x_{26} & +  0.46 x_{5} & -0.75 x_{7} & +  0.04 x_{16} & -0.03 x_{21} & +  0.09 x_{23} & -0.04 x_{24} & +  1.30 x_{11} & -0.04 x_{28} & +  0.95 x_{13} & -0.81 x_{14} & -0.07 x_{29}\\
\hline
z    &  3.44784312439 & -0.01 x_{31} & -12.58 x_{2} & -1.04 x_{22} & -0.11 x_{26} & -9.44 x_{5} & + 17.09 x_{7} & -0.31 x_{16} & +  0.05 x_{21} & -0.30 x_{23} & +  0.39 x_{24} & -6.04 x_{11} & -0.05 x_{28} & -5.87 x_{13} & -0.06 x_{14} & +  0.63 x_{29}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  0.763833910695 & +  0.05 x_{31} & -0.28 x_{2} & +  0.05 x_{22} & +  0.03 x_{26} & +  0.58 x_{5} & -0.32 x_{10} & +  0.02 x_{16} & +  0.02 x_{21} & +  0.02 x_{23} & +  0.05 x_{24} & +  1.16 x_{11} & +  0.04 x_{28} & -0.66 x_{13} & +  0.36 x_{14} & -0.01 x_{29}\\
 x_{17}   &  5.45546970493 & -0.84 x_{31} & + 20.17 x_{2} & +  0.13 x_{22} & -0.61 x_{26} & -1.26 x_{5} & +  9.63 x_{10} & +  0.30 x_{16} & -0.30 x_{21} & -0.03 x_{23} & -0.71 x_{24} & -22.90 x_{11} & -0.64 x_{28} & + 10.61 x_{13} & -5.90 x_{14} & +  0.30 x_{29}\\
 x_{18}   &  17.8424962887 & -0.90 x_{31} & -3.19 x_{2} & -0.44 x_{22} & +  0.00 x_{26} & -13.06 x_{5} & + 11.15 x_{10} & -0.57 x_{16} & -0.83 x_{21} & -1.10 x_{23} & -0.10 x_{24} & -20.82 x_{11} & -0.31 x_{28} & +  5.41 x_{13} & -1.72 x_{14} & +  0.10 x_{29}\\
 x_{8}   &  2.54459472896 & +  0.02 x_{31} & +  1.39 x_{2} & +  0.02 x_{22} & -0.01 x_{26} & +  0.74 x_{5} & -0.27 x_{10} & +  0.01 x_{16} & +  0.04 x_{21} & +  0.05 x_{23} & -0.03 x_{24} & +  0.85 x_{11} & -0.04 x_{28} & -0.16 x_{13} & -0.17 x_{14} & +  0.02 x_{29}\\
 x_{20}   &  50.9706654075 & -0.04 x_{31} & -22.10 x_{2} & +  0.10 x_{22} & +  0.06 x_{26} & +  0.93 x_{5} & + 11.01 x_{10} & +  0.17 x_{16} & -1.30 x_{21} & -0.29 x_{23} & +  0.10 x_{24} & -20.44 x_{11} & +  0.14 x_{28} & -3.15 x_{13} & -6.02 x_{14} & -0.31 x_{29}\\
 x_{19}   &  18.421655117 & -0.76 x_{31} & + 23.49 x_{2} & -0.19 x_{22} & -0.85 x_{26} & + 13.86 x_{5} & +  6.55 x_{10} & -0.43 x_{16} & -0.09 x_{21} & +  0.27 x_{23} & -0.83 x_{24} & -8.53 x_{11} & -1.08 x_{28} & + 11.34 x_{13} & -13.31 x_{14} & +  0.47 x_{29}\\
 x_{15}   &  2.48418727368 & -0.05 x_{31} & -0.57 x_{2} & -0.03 x_{22} & +  0.00 x_{26} & -0.95 x_{5} & +  0.10 x_{10} & +  0.04 x_{16} & +  0.01 x_{21} & -0.07 x_{23} & +  0.05 x_{24} & -0.78 x_{11} & +  0.02 x_{28} & -0.46 x_{13} & +  0.14 x_{14} & +  0.06 x_{29}\\
 x_{9}   &  2.92929876864 & -0.05 x_{31} & +  0.32 x_{2} & +  0.01 x_{22} & -0.05 x_{26} & -0.21 x_{5} & -0.19 x_{10} & +  0.01 x_{16} & +  0.02 x_{21} & -0.03 x_{23} & +  0.04 x_{24} & -0.20 x_{11} & +  0.01 x_{28} & +  0.26 x_{13} & -0.29 x_{14} & +  0.01 x_{29}\\
 x_{7}   &  0.210250694288 & +  0.00 x_{31} & +  0.38 x_{2} & +  0.05 x_{22} & +  0.01 x_{26} & +  0.36 x_{5} & -0.13 x_{10} & +  0.03 x_{16} & -0.01 x_{21} & +  0.04 x_{23} & -0.02 x_{24} & +  0.68 x_{11} & -0.01 x_{28} & +  0.45 x_{13} & -0.30 x_{14} & -0.06 x_{29}\\
 x_{12}   &  0.95722978587 & +  0.03 x_{31} & -0.51 x_{2} & -0.02 x_{22} & +  0.02 x_{26} & -0.46 x_{5} & -0.05 x_{10} & +  0.03 x_{16} & +  0.05 x_{21} & -0.02 x_{23} & +  0.04 x_{24} & +  0.43 x_{11} & +  0.07 x_{28} & -0.62 x_{13} & +  0.38 x_{14} & +  0.03 x_{29}\\
 x_{4}   &  3.33694722069 & -0.02 x_{31} & -0.48 x_{2} & -0.03 x_{22} & +  0.00 x_{26} & -0.97 x_{5} & -0.86 x_{10} & +  0.03 x_{16} & +  0.00 x_{21} & -0.08 x_{23} & +  0.06 x_{24} & +  0.08 x_{11} & -0.01 x_{28} & -0.26 x_{13} & -0.06 x_{14} & -0.01 x_{29}\\
 x_{27}   &  43.7183532118 & -0.23 x_{31} & + 17.24 x_{2} & +  1.26 x_{22} & -0.87 x_{26} & +  5.78 x_{5} & +  3.29 x_{10} & -0.16 x_{16} & -0.02 x_{21} & +  0.12 x_{23} & -0.21 x_{24} & -6.47 x_{11} & -0.45 x_{28} & +  5.14 x_{13} & -17.33 x_{14} & -0.59 x_{29}\\
 x_{25}   &  0.0096403644231 & -0.51 x_{31} & -18.42 x_{2} & -1.09 x_{22} & -0.18 x_{26} & -24.60 x_{5} & +  3.74 x_{10} & +  0.21 x_{16} & -0.69 x_{21} & -1.09 x_{23} & +  0.22 x_{24} & -21.14 x_{11} & +  0.68 x_{28} & +  4.29 x_{13} & +  3.63 x_{14} & +  0.49 x_{29}\\
 x_{3}   &  1.01858787697 & +  0.08 x_{31} & +  0.50 x_{2} & -0.01 x_{22} & +  0.06 x_{26} & +  1.01 x_{5} & -0.47 x_{10} & -0.00 x_{16} & +  0.05 x_{21} & +  0.11 x_{23} & -0.02 x_{24} & +  2.19 x_{11} & -0.02 x_{28} & -0.24 x_{13} & +  0.34 x_{14} & -0.00 x_{29}\\
 x_{30}   &  19.8167759628 & +  0.32 x_{31} & +  5.29 x_{2} & +  0.22 x_{22} & +  0.20 x_{26} & -12.00 x_{5} & +  9.98 x_{10} & +  1.02 x_{16} & +  0.28 x_{21} & +  0.21 x_{23} & +  0.69 x_{24} & + 12.92 x_{11} & +  0.87 x_{28} & -1.05 x_{13} & +  0.20 x_{14} & +  0.17 x_{29}\\
 x_{1}   &  0.667553887159 & +  0.03 x_{31} & +  0.37 x_{2} & -0.02 x_{22} & -0.01 x_{26} & +  0.19 x_{5} & +  0.10 x_{10} & +  0.02 x_{16} & -0.02 x_{21} & +  0.06 x_{23} & -0.02 x_{24} & +  0.79 x_{11} & -0.03 x_{28} & +  0.61 x_{13} & -0.59 x_{14} & -0.03 x_{29}\\
\hline
z    &  7.04038600533 & +  0.07 x_{31} & -6.17 x_{2} & -0.19 x_{22} & +  0.05 x_{26} & -3.22 x_{5} & -2.20 x_{10} & +  0.14 x_{16} & -0.16 x_{21} & +  0.35 x_{23} & +  0.04 x_{24} & +  5.55 x_{11} & -0.19 x_{28} & +  1.74 x_{13} & -5.22 x_{14} & -0.32 x_{29}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{25} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  0.764361074737 & +  0.02 x_{31} & -1.29 x_{2} & -0.01 x_{22} & +  0.02 x_{26} & -0.77 x_{5} & -0.11 x_{10} & +  0.03 x_{16} & -0.02 x_{21} & -0.04 x_{23} & +  0.06 x_{24} & -0.05 x_{25} & +  0.08 x_{28} & -0.43 x_{13} & +  0.55 x_{14} & +  0.02 x_{29}\\
 x_{17}   &  5.44502630218 & -0.29 x_{31} & + 40.12 x_{2} & +  1.31 x_{22} & -0.42 x_{26} & + 25.38 x_{5} & +  5.59 x_{10} & +  0.07 x_{16} & +  0.45 x_{21} & +  1.15 x_{23} & -0.95 x_{24} & +  1.08 x_{25} & -1.38 x_{28} & +  5.96 x_{13} & -9.84 x_{14} & -0.24 x_{29}\\
 x_{18}   &  17.8329981282 & -0.40 x_{31} & + 14.95 x_{2} & +  0.63 x_{22} & +  0.18 x_{26} & + 11.17 x_{5} & +  7.47 x_{10} & -0.78 x_{16} & -0.15 x_{21} & -0.03 x_{23} & -0.32 x_{24} & +  0.99 x_{25} & -0.99 x_{28} & +  1.18 x_{13} & -5.30 x_{14} & -0.38 x_{29}\\
 x_{8}   &  2.54498114168 & -0.00 x_{31} & +  0.65 x_{2} & -0.02 x_{22} & -0.01 x_{26} & -0.24 x_{5} & -0.12 x_{10} & +  0.02 x_{16} & +  0.01 x_{21} & +  0.01 x_{23} & -0.02 x_{24} & -0.04 x_{25} & -0.01 x_{28} & +  0.01 x_{13} & -0.02 x_{14} & +  0.04 x_{29}\\
 x_{20}   &  50.9613413562 & +  0.45 x_{31} & -4.29 x_{2} & +  1.15 x_{22} & +  0.23 x_{26} & + 24.72 x_{5} & +  7.39 x_{10} & -0.04 x_{16} & -0.64 x_{21} & +  0.76 x_{23} & -0.11 x_{24} & +  0.97 x_{25} & -0.52 x_{28} & -7.30 x_{13} & -9.53 x_{14} & -0.79 x_{29}\\
 x_{19}   &  18.4177655921 & -0.56 x_{31} & + 30.93 x_{2} & +  0.25 x_{22} & -0.78 x_{26} & + 23.79 x_{5} & +  5.04 x_{10} & -0.52 x_{16} & +  0.19 x_{21} & +  0.71 x_{23} & -0.92 x_{24} & +  0.40 x_{25} & -1.35 x_{28} & +  9.61 x_{13} & -14.77 x_{14} & +  0.27 x_{29}\\
 x_{15}   &  2.48383174408 & -0.03 x_{31} & +  0.11 x_{2} & +  0.01 x_{22} & +  0.01 x_{26} & -0.04 x_{5} & -0.03 x_{10} & +  0.03 x_{16} & +  0.04 x_{21} & -0.03 x_{23} & +  0.04 x_{24} & +  0.04 x_{25} & -0.00 x_{28} & -0.61 x_{13} & +  0.01 x_{14} & +  0.04 x_{29}\\
 x_{9}   &  2.92920863735 & -0.04 x_{31} & +  0.49 x_{2} & +  0.02 x_{22} & -0.05 x_{26} & +  0.02 x_{5} & -0.22 x_{10} & +  0.01 x_{16} & +  0.03 x_{21} & -0.02 x_{23} & +  0.04 x_{24} & +  0.01 x_{25} & -0.00 x_{28} & +  0.22 x_{13} & -0.32 x_{14} & +  0.01 x_{29}\\
 x_{7}   &  0.210560008579 & -0.01 x_{31} & -0.22 x_{2} & +  0.01 x_{22} & +  0.00 x_{26} & -0.43 x_{5} & -0.01 x_{10} & +  0.03 x_{16} & -0.03 x_{21} & +  0.00 x_{23} & -0.01 x_{24} & -0.03 x_{25} & +  0.01 x_{28} & +  0.58 x_{13} & -0.19 x_{14} & -0.04 x_{29}\\
 x_{12}   &  0.957425532203 & +  0.02 x_{31} & -0.89 x_{2} & -0.04 x_{22} & +  0.02 x_{26} & -0.96 x_{5} & +  0.03 x_{10} & +  0.03 x_{16} & +  0.04 x_{21} & -0.04 x_{23} & +  0.04 x_{24} & -0.02 x_{25} & +  0.08 x_{28} & -0.53 x_{13} & +  0.45 x_{14} & +  0.04 x_{29}\\
 x_{4}   &  3.33698246945 & -0.03 x_{31} & -0.55 x_{2} & -0.03 x_{22} & +  0.00 x_{26} & -1.06 x_{5} & -0.84 x_{10} & +  0.03 x_{16} & -0.00 x_{21} & -0.08 x_{23} & +  0.06 x_{24} & -0.00 x_{25} & -0.01 x_{28} & -0.24 x_{13} & -0.05 x_{14} & -0.01 x_{29}\\
 x_{27}   &  43.7153999358 & -0.07 x_{31} & + 22.88 x_{2} & +  1.60 x_{22} & -0.82 x_{26} & + 13.31 x_{5} & +  2.15 x_{10} & -0.23 x_{16} & +  0.20 x_{21} & +  0.45 x_{23} & -0.28 x_{24} & +  0.31 x_{25} & -0.66 x_{28} & +  3.83 x_{13} & -18.44 x_{14} & -0.74 x_{29}\\
 x_{11}   &  0.000456122744165 & -0.02 x_{31} & -0.87 x_{2} & -0.05 x_{22} & -0.01 x_{26} & -1.16 x_{5} & +  0.18 x_{10} & +  0.01 x_{16} & -0.03 x_{21} & -0.05 x_{23} & +  0.01 x_{24} & -0.05 x_{25} & +  0.03 x_{28} & +  0.20 x_{13} & +  0.17 x_{14} & +  0.02 x_{29}\\
 x_{3}   &  1.01958899374 & +  0.02 x_{31} & -1.42 x_{2} & -0.12 x_{22} & +  0.04 x_{26} & -1.55 x_{5} & -0.08 x_{10} & +  0.02 x_{16} & -0.02 x_{21} & +  0.00 x_{23} & -0.00 x_{24} & -0.10 x_{25} & +  0.05 x_{28} & +  0.20 x_{13} & +  0.72 x_{14} & +  0.05 x_{29}\\
 x_{30}   &  19.8226668238 & +  0.01 x_{31} & -5.96 x_{2} & -0.44 x_{22} & +  0.09 x_{26} & -27.03 x_{5} & + 12.26 x_{10} & +  1.15 x_{16} & -0.14 x_{21} & -0.46 x_{23} & +  0.82 x_{24} & -0.61 x_{25} & +  1.29 x_{28} & +  1.57 x_{13} & +  2.42 x_{14} & +  0.48 x_{29}\\
 x_{1}   &  0.667915162091 & +  0.02 x_{31} & -0.32 x_{2} & -0.06 x_{22} & -0.01 x_{26} & -0.73 x_{5} & +  0.24 x_{10} & +  0.03 x_{16} & -0.04 x_{21} & +  0.02 x_{23} & -0.01 x_{24} & -0.04 x_{25} & -0.00 x_{28} & +  0.77 x_{13} & -0.45 x_{14} & -0.01 x_{29}\\
\hline
z    &  7.04291795782 & -0.07 x_{31} & -11.00 x_{2} & -0.47 x_{22} & -0.00 x_{26} & -9.68 x_{5} & -1.21 x_{10} & +  0.19 x_{16} & -0.34 x_{21} & +  0.07 x_{23} & +  0.09 x_{24} & -0.26 x_{25} & -0.01 x_{28} & +  2.87 x_{13} & -4.27 x_{14} & -0.19 x_{29}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  1.77961746613 & +  0.06 x_{31} & -3.00 x_{2} & -0.03 x_{22} & +  0.05 x_{26} & -1.78 x_{5} & -0.26 x_{10} & +  0.07 x_{16} & -0.05 x_{21} & -0.10 x_{23} & +  0.14 x_{24} & -0.13 x_{25} & +  0.19 x_{28} & -2.33 x_{6} & +  1.29 x_{14} & +  0.05 x_{29}\\
 x_{17}   &  16.0577843617 & +  0.04 x_{31} & + 22.22 x_{2} & +  1.12 x_{22} & -0.14 x_{26} & + 14.74 x_{5} & +  4.03 x_{10} & +  0.46 x_{16} & +  0.18 x_{21} & +  0.55 x_{23} & -0.11 x_{24} & +  0.32 x_{25} & -0.24 x_{28} & -13.88 x_{6} & -2.14 x_{14} & +  0.04 x_{29}\\
 x_{18}   &  19.9395170189 & -0.34 x_{31} & + 11.40 x_{2} & +  0.59 x_{22} & +  0.23 x_{26} & +  9.06 x_{5} & +  7.16 x_{10} & -0.70 x_{16} & -0.20 x_{21} & -0.14 x_{23} & -0.15 x_{24} & +  0.83 x_{25} & -0.76 x_{28} & -2.76 x_{6} & -3.77 x_{14} & -0.33 x_{29}\\
 x_{8}   &  2.57127772881 & -0.00 x_{31} & +  0.61 x_{2} & -0.02 x_{22} & -0.01 x_{26} & -0.27 x_{5} & -0.12 x_{10} & +  0.02 x_{16} & +  0.01 x_{21} & +  0.00 x_{23} & -0.02 x_{24} & -0.04 x_{25} & -0.01 x_{28} & -0.03 x_{6} & -0.00 x_{14} & +  0.04 x_{29}\\
 x_{20}   &  37.9785120755 & +  0.05 x_{31} & + 17.61 x_{2} & +  1.39 x_{22} & -0.10 x_{26} & + 37.74 x_{5} & +  9.30 x_{10} & -0.52 x_{16} & -0.31 x_{21} & +  1.49 x_{23} & -1.14 x_{24} & +  1.90 x_{25} & -1.90 x_{28} & + 16.99 x_{6} & -18.95 x_{14} & -1.13 x_{29}\\
 x_{19}   &  35.5113978844 & -0.02 x_{31} & +  2.09 x_{2} & -0.06 x_{22} & -0.34 x_{26} & +  6.65 x_{5} & +  2.54 x_{10} & +  0.12 x_{16} & -0.25 x_{21} & -0.26 x_{23} & +  0.44 x_{24} & -0.82 x_{25} & +  0.47 x_{28} & -22.36 x_{6} & -2.37 x_{14} & +  0.71 x_{29}\\
 x_{15}   &  1.3915807224 & -0.07 x_{31} & +  1.95 x_{2} & +  0.02 x_{22} & -0.02 x_{26} & +  1.06 x_{5} & +  0.13 x_{10} & -0.01 x_{16} & +  0.06 x_{21} & +  0.04 x_{23} & -0.04 x_{24} & +  0.12 x_{25} & -0.12 x_{28} & +  1.43 x_{6} & -0.78 x_{14} & +  0.02 x_{29}\\
 x_{9}   &  3.32786772665 & -0.03 x_{31} & -0.18 x_{2} & +  0.01 x_{22} & -0.04 x_{26} & -0.38 x_{5} & -0.28 x_{10} & +  0.02 x_{16} & +  0.02 x_{21} & -0.04 x_{23} & +  0.07 x_{24} & -0.02 x_{25} & +  0.04 x_{28} & -0.52 x_{6} & -0.03 x_{14} & +  0.02 x_{29}\\
 x_{7}   &  1.24802513202 & +  0.02 x_{31} & -1.97 x_{2} & -0.00 x_{22} & +  0.03 x_{26} & -1.47 x_{5} & -0.16 x_{10} & +  0.07 x_{16} & -0.06 x_{21} & -0.06 x_{23} & +  0.07 x_{24} & -0.11 x_{25} & +  0.12 x_{28} & -1.36 x_{6} & +  0.57 x_{14} & -0.01 x_{29}\\
 x_{12}   &  0.0143618602627 & -0.01 x_{31} & +  0.71 x_{2} & -0.03 x_{22} & -0.00 x_{26} & -0.01 x_{5} & +  0.16 x_{10} & -0.00 x_{16} & +  0.06 x_{21} & +  0.02 x_{23} & -0.04 x_{24} & +  0.05 x_{25} & -0.02 x_{28} & +  1.23 x_{6} & -0.23 x_{14} & +  0.02 x_{29}\\
 x_{4}   &  2.90440452348 & -0.04 x_{31} & +  0.18 x_{2} & -0.03 x_{22} & -0.01 x_{26} & -0.63 x_{5} & -0.78 x_{10} & +  0.01 x_{16} & +  0.01 x_{21} & -0.06 x_{23} & +  0.03 x_{24} & +  0.03 x_{25} & -0.06 x_{28} & +  0.57 x_{6} & -0.36 x_{14} & -0.02 x_{29}\\
 x_{27}   &  50.5309775367 & +  0.14 x_{31} & + 11.39 x_{2} & +  1.47 x_{22} & -0.64 x_{26} & +  6.48 x_{5} & +  1.15 x_{10} & +  0.03 x_{16} & +  0.02 x_{21} & +  0.07 x_{23} & +  0.26 x_{24} & -0.18 x_{25} & +  0.07 x_{28} & -8.92 x_{6} & -13.50 x_{14} & -0.56 x_{29}\\
 x_{11}   &  0.361494496221 & -0.01 x_{31} & -1.48 x_{2} & -0.06 x_{22} & +  0.00 x_{26} & -1.53 x_{5} & +  0.12 x_{10} & +  0.02 x_{16} & -0.04 x_{21} & -0.07 x_{23} & +  0.04 x_{24} & -0.07 x_{25} & +  0.07 x_{28} & -0.47 x_{6} & +  0.43 x_{14} & +  0.03 x_{29}\\
 x_{3}   &  1.37692375111 & +  0.03 x_{31} & -2.02 x_{2} & -0.13 x_{22} & +  0.05 x_{26} & -1.90 x_{5} & -0.13 x_{10} & +  0.03 x_{16} & -0.03 x_{21} & -0.02 x_{23} & +  0.03 x_{24} & -0.13 x_{25} & +  0.09 x_{28} & -0.47 x_{6} & +  0.98 x_{14} & +  0.06 x_{29}\\
 x_{30}   &  22.6154125363 & +  0.10 x_{31} & -10.67 x_{2} & -0.49 x_{22} & +  0.16 x_{26} & -29.83 x_{5} & + 11.85 x_{10} & +  1.25 x_{16} & -0.21 x_{21} & -0.61 x_{23} & +  1.04 x_{24} & -0.81 x_{25} & +  1.58 x_{28} & -3.65 x_{6} & +  4.44 x_{14} & +  0.55 x_{29}\\
 x_{1}   &  2.04554132763 & +  0.06 x_{31} & -2.65 x_{2} & -0.09 x_{22} & +  0.02 x_{26} & -2.12 x_{5} & +  0.03 x_{10} & +  0.08 x_{16} & -0.08 x_{21} & -0.06 x_{23} & +  0.09 x_{24} & -0.14 x_{25} & +  0.14 x_{28} & -1.80 x_{6} & +  0.55 x_{14} & +  0.03 x_{29}\\
\hline
z    &  12.1459636071 & +  0.09 x_{31} & -19.61 x_{2} & -0.57 x_{22} & +  0.13 x_{26} & -14.80 x_{5} & -1.96 x_{10} & +  0.38 x_{16} & -0.47 x_{21} & -0.22 x_{23} & +  0.50 x_{24} & -0.63 x_{25} & +  0.53 x_{28} & -6.68 x_{6} & -0.57 x_{14} & -0.05 x_{29}\\
\end{array}\]


 $ x_{16} $ enters and $ x_{12} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  2.01198653688 & -0.05 x_{31} & +  8.42 x_{2} & -0.45 x_{22} & -0.03 x_{26} & -2.00 x_{5} & +  2.39 x_{10} & -16.18 x_{12} & +  0.93 x_{21} & +  0.15 x_{23} & -0.43 x_{24} & +  0.64 x_{25} & -0.08 x_{28} & + 17.63 x_{6} & -2.47 x_{14} & +  0.29 x_{29}\\
 x_{17}   &  17.6839804608 & -0.72 x_{31} & + 102.13 x_{2} & -1.81 x_{22} & -0.64 x_{26} & + 13.24 x_{5} & + 22.61 x_{10} & -113.23 x_{12} & +  7.00 x_{21} & +  2.33 x_{23} & -4.11 x_{24} & +  5.66 x_{25} & -2.12 x_{28} & + 125.82 x_{6} & -28.46 x_{14} & +  1.76 x_{29}\\
 x_{18}   &  17.4685124736 & +  0.83 x_{31} & -110.02 x_{2} & +  5.04 x_{22} & +  0.99 x_{26} & + 11.34 x_{5} & -21.08 x_{10} & + 172.05 x_{12} & -10.58 x_{21} & -2.85 x_{23} & +  5.94 x_{24} & -7.28 x_{25} & +  2.09 x_{28} & -215.03 x_{6} & + 36.23 x_{14} & -2.94 x_{29}\\
 x_{8}   &  2.64163875794 & -0.03 x_{31} & +  4.06 x_{2} & -0.15 x_{22} & -0.04 x_{26} & -0.33 x_{5} & +  0.68 x_{10} & -4.90 x_{12} & +  0.31 x_{21} & +  0.08 x_{23} & -0.19 x_{24} & +  0.19 x_{25} & -0.09 x_{28} & +  6.01 x_{6} & -1.14 x_{14} & +  0.12 x_{29}\\
 x_{20}   &  36.1587628594 & +  0.90 x_{31} & -71.81 x_{2} & +  4.66 x_{22} & +  0.46 x_{26} & + 39.42 x_{5} & -11.50 x_{10} & + 126.71 x_{12} & -7.94 x_{21} & -0.50 x_{23} & +  3.34 x_{24} & -4.08 x_{25} & +  0.20 x_{28} & -139.35 x_{6} & + 10.50 x_{14} & -3.06 x_{29}\\
 x_{19}   &  35.925694168 & -0.22 x_{31} & + 22.45 x_{2} & -0.81 x_{22} & -0.47 x_{26} & +  6.26 x_{5} & +  7.27 x_{10} & -28.85 x_{12} & +  1.49 x_{21} & +  0.19 x_{23} & -0.58 x_{24} & +  0.54 x_{25} & -0.01 x_{28} & + 13.23 x_{6} & -9.08 x_{14} & +  1.15 x_{29}\\
 x_{15}   &  1.35197411676 & -0.05 x_{31} & +  0.00 x_{2} & +  0.10 x_{22} & -0.01 x_{26} & +  1.09 x_{5} & -0.33 x_{10} & +  2.76 x_{12} & -0.10 x_{21} & -0.01 x_{23} & +  0.05 x_{24} & -0.02 x_{25} & -0.07 x_{28} & -1.97 x_{6} & -0.14 x_{14} & -0.03 x_{29}\\
 x_{9}   &  3.41119688833 & -0.07 x_{31} & +  3.91 x_{2} & -0.14 x_{22} & -0.06 x_{26} & -0.46 x_{5} & +  0.67 x_{10} & -5.80 x_{12} & +  0.37 x_{21} & +  0.05 x_{23} & -0.13 x_{24} & +  0.25 x_{25} & -0.05 x_{28} & +  6.64 x_{6} & -1.38 x_{14} & +  0.11 x_{29}\\
 x_{7}   &  1.49798176333 & -0.10 x_{31} & + 10.32 x_{2} & -0.45 x_{22} & -0.05 x_{26} & -1.70 x_{5} & +  2.70 x_{10} & -17.40 x_{12} & +  0.99 x_{21} & +  0.22 x_{23} & -0.55 x_{24} & +  0.71 x_{25} & -0.16 x_{28} & + 20.12 x_{6} & -3.48 x_{14} & +  0.25 x_{29}\\
 x_{16}   &  3.5182830263 & -1.66 x_{31} & + 172.88 x_{2} & -6.33 x_{22} & -1.08 x_{26} & -3.25 x_{5} & + 40.21 x_{10} & -244.97 x_{12} & + 14.77 x_{21} & +  3.85 x_{23} & -8.66 x_{24} & + 11.55 x_{25} & -4.06 x_{28} & + 302.25 x_{6} & -56.95 x_{14} & +  3.72 x_{29}\\
 x_{4}   &  2.9403202824 & -0.06 x_{31} & +  1.95 x_{2} & -0.09 x_{22} & -0.02 x_{26} & -0.66 x_{5} & -0.37 x_{10} & -2.50 x_{12} & +  0.16 x_{21} & -0.02 x_{23} & -0.06 x_{24} & +  0.15 x_{25} & -0.10 x_{28} & +  3.65 x_{6} & -0.95 x_{14} & +  0.02 x_{29}\\
 x_{27}   &  50.6235653783 & +  0.10 x_{31} & + 15.94 x_{2} & +  1.31 x_{22} & -0.67 x_{26} & +  6.39 x_{5} & +  2.21 x_{10} & -6.45 x_{12} & +  0.41 x_{21} & +  0.17 x_{23} & +  0.03 x_{24} & +  0.12 x_{25} & -0.04 x_{28} & -0.96 x_{6} & -14.99 x_{14} & -0.46 x_{29}\\
 x_{11}   &  0.443468753986 & -0.05 x_{31} & +  2.55 x_{2} & -0.21 x_{22} & -0.02 x_{26} & -1.60 x_{5} & +  1.06 x_{10} & -5.71 x_{12} & +  0.30 x_{21} & +  0.02 x_{23} & -0.16 x_{24} & +  0.20 x_{25} & -0.02 x_{28} & +  6.57 x_{6} & -0.89 x_{14} & +  0.12 x_{29}\\
 x_{3}   &  1.49967677649 & -0.02 x_{31} & +  4.01 x_{2} & -0.35 x_{22} & +  0.02 x_{26} & -2.02 x_{5} & +  1.27 x_{10} & -8.55 x_{12} & +  0.48 x_{21} & +  0.12 x_{23} & -0.28 x_{24} & +  0.27 x_{25} & -0.05 x_{28} & + 10.08 x_{6} & -1.01 x_{14} & +  0.19 x_{29}\\
 x_{30}   &  27.0250934341 & -1.98 x_{31} & + 206.01 x_{2} & -8.42 x_{22} & -1.19 x_{26} & -33.90 x_{5} & + 62.25 x_{10} & -307.04 x_{12} & + 18.30 x_{21} & +  4.21 x_{23} & -9.82 x_{24} & + 13.67 x_{25} & -3.51 x_{28} & + 375.17 x_{6} & -66.93 x_{14} & +  5.22 x_{29}\\
 x_{1}   &  2.33247747089 & -0.08 x_{31} & + 11.45 x_{2} & -0.60 x_{22} & -0.07 x_{26} & -2.38 x_{5} & +  3.31 x_{10} & -19.98 x_{12} & +  1.12 x_{21} & +  0.25 x_{23} & -0.61 x_{24} & +  0.81 x_{25} & -0.19 x_{28} & + 22.85 x_{6} & -4.10 x_{14} & +  0.33 x_{29}\\
\hline
z    &  13.48333436 & -0.54 x_{31} & + 46.10 x_{2} & -2.97 x_{22} & -0.28 x_{26} & -16.04 x_{5} & + 13.32 x_{10} & -93.12 x_{12} & +  5.15 x_{21} & +  1.24 x_{23} & -2.79 x_{24} & +  3.76 x_{25} & -1.01 x_{28} & + 108.21 x_{6} & -22.21 x_{14} & +  1.36 x_{29}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{18} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  3.34823824975 & +  0.01 x_{31} & -0.08 x_{18} & -0.06 x_{22} & +  0.05 x_{26} & -1.13 x_{5} & +  0.78 x_{10} & -3.02 x_{12} & +  0.12 x_{21} & -0.06 x_{23} & +  0.02 x_{24} & +  0.08 x_{25} & +  0.08 x_{28} & +  1.19 x_{6} & +  0.30 x_{14} & +  0.07 x_{29}\\
 x_{17}   &  33.8992323876 & +  0.04 x_{31} & -0.93 x_{18} & +  2.87 x_{22} & +  0.28 x_{26} & + 23.77 x_{5} & +  3.04 x_{10} & + 46.48 x_{12} & -2.82 x_{21} & -0.32 x_{23} & +  1.40 x_{24} & -1.09 x_{25} & -0.18 x_{28} & -73.79 x_{6} & +  5.17 x_{14} & -0.97 x_{29}\\
 x_{2}   &  0.158772908706 & +  0.01 x_{31} & -0.01 x_{18} & +  0.05 x_{22} & +  0.01 x_{26} & +  0.10 x_{5} & -0.19 x_{10} & +  1.56 x_{12} & -0.10 x_{21} & -0.03 x_{23} & +  0.05 x_{24} & -0.07 x_{25} & +  0.02 x_{28} & -1.95 x_{6} & +  0.33 x_{14} & -0.03 x_{29}\\
 x_{8}   &  3.28700670607 & -0.00 x_{31} & -0.04 x_{18} & +  0.04 x_{22} & +  0.00 x_{26} & +  0.09 x_{5} & -0.10 x_{10} & +  1.46 x_{12} & -0.08 x_{21} & -0.02 x_{23} & +  0.02 x_{24} & -0.08 x_{25} & -0.01 x_{28} & -1.93 x_{6} & +  0.20 x_{14} & +  0.01 x_{29}\\
 x_{20}   &  24.7572930014 & +  0.36 x_{31} & +  0.65 x_{18} & +  1.37 x_{22} & -0.19 x_{26} & + 32.01 x_{5} & +  2.26 x_{10} & + 14.41 x_{12} & -1.04 x_{21} & +  1.36 x_{23} & -0.54 x_{24} & +  0.67 x_{25} & -1.17 x_{28} & +  1.00 x_{6} & -13.14 x_{14} & -1.14 x_{29}\\
 x_{19}   &  39.4896340152 & -0.05 x_{31} & -0.20 x_{18} & +  0.22 x_{22} & -0.27 x_{26} & +  8.58 x_{5} & +  2.97 x_{10} & +  6.26 x_{12} & -0.67 x_{21} & -0.39 x_{23} & +  0.63 x_{24} & -0.94 x_{25} & +  0.42 x_{28} & -30.64 x_{6} & -1.69 x_{14} & +  0.55 x_{29}\\
 x_{15}   &  1.35228191967 & -0.05 x_{31} & -0.00 x_{18} & +  0.10 x_{22} & -0.01 x_{26} & +  1.09 x_{5} & -0.33 x_{10} & +  2.76 x_{12} & -0.10 x_{21} & -0.01 x_{23} & +  0.06 x_{24} & -0.02 x_{25} & -0.07 x_{28} & -1.98 x_{6} & -0.14 x_{14} & -0.03 x_{29}\\
 x_{9}   &  4.03240553778 & -0.04 x_{31} & -0.04 x_{18} & +  0.04 x_{22} & -0.03 x_{26} & -0.05 x_{5} & -0.08 x_{10} & +  0.32 x_{12} & -0.01 x_{21} & -0.05 x_{23} & +  0.08 x_{24} & -0.00 x_{25} & +  0.02 x_{28} & -1.01 x_{6} & -0.09 x_{14} & +  0.00 x_{29}\\
 x_{7}   &  3.13600929258 & -0.02 x_{31} & -0.09 x_{18} & +  0.02 x_{22} & +  0.05 x_{26} & -0.63 x_{5} & +  0.72 x_{10} & -1.27 x_{12} & -0.00 x_{21} & -0.05 x_{23} & +  0.01 x_{24} & +  0.03 x_{25} & +  0.03 x_{28} & -0.05 x_{6} & -0.08 x_{14} & -0.02 x_{29}\\
 x_{16}   &  30.9674255832 & -0.36 x_{31} & -1.57 x_{18} & +  1.58 x_{22} & +  0.48 x_{26} & + 14.57 x_{5} & +  7.08 x_{10} & + 25.38 x_{12} & -1.85 x_{21} & -0.63 x_{23} & +  0.66 x_{24} & +  0.11 x_{25} & -0.77 x_{28} & -35.65 x_{6} & -0.03 x_{14} & -0.90 x_{29}\\
 x_{4}   &  3.24979680631 & -0.04 x_{31} & -0.02 x_{18} & -0.00 x_{22} & -0.00 x_{26} & -0.46 x_{5} & -0.74 x_{10} & +  0.55 x_{12} & -0.03 x_{21} & -0.07 x_{23} & +  0.04 x_{24} & +  0.02 x_{25} & -0.06 x_{28} & -0.16 x_{6} & -0.30 x_{14} & -0.03 x_{29}\\
 x_{27}   &  53.1536952793 & +  0.22 x_{31} & -0.14 x_{18} & +  2.04 x_{22} & -0.53 x_{26} & +  8.04 x_{5} & -0.85 x_{10} & + 18.47 x_{12} & -1.12 x_{21} & -0.25 x_{23} & +  0.89 x_{24} & -0.93 x_{25} & +  0.26 x_{28} & -32.11 x_{6} & -9.75 x_{14} & -0.89 x_{29}\\
 x_{11}   &  0.847972097208 & -0.03 x_{31} & -0.02 x_{18} & -0.09 x_{22} & -0.00 x_{26} & -1.34 x_{5} & +  0.57 x_{10} & -1.72 x_{12} & +  0.06 x_{21} & -0.05 x_{23} & -0.03 x_{24} & +  0.03 x_{25} & +  0.02 x_{28} & +  1.59 x_{6} & -0.05 x_{14} & +  0.05 x_{29}\\
 x_{3}   &  2.13681328767 & +  0.01 x_{31} & -0.04 x_{18} & -0.16 x_{22} & +  0.05 x_{26} & -1.60 x_{5} & +  0.50 x_{10} & -2.27 x_{12} & +  0.10 x_{21} & +  0.01 x_{23} & -0.06 x_{24} & +  0.01 x_{25} & +  0.02 x_{28} & +  2.23 x_{6} & +  0.31 x_{14} & +  0.08 x_{29}\\
 x_{30}   &  59.7345963205 & -0.43 x_{31} & -1.87 x_{18} & +  1.00 x_{22} & +  0.66 x_{26} & -12.66 x_{5} & + 22.77 x_{10} & + 15.13 x_{12} & -1.50 x_{21} & -1.12 x_{23} & +  1.30 x_{24} & +  0.04 x_{25} & +  0.41 x_{28} & -27.48 x_{6} & +  0.90 x_{14} & -0.30 x_{29}\\
 x_{1}   &  4.15092230368 & +  0.01 x_{31} & -0.10 x_{18} & -0.08 x_{22} & +  0.04 x_{26} & -1.20 x_{5} & +  1.12 x_{10} & -2.07 x_{12} & +  0.02 x_{21} & -0.04 x_{23} & +  0.01 x_{24} & +  0.05 x_{25} & +  0.03 x_{28} & +  0.46 x_{6} & -0.32 x_{14} & +  0.03 x_{29}\\
\hline
z    &  20.8033554234 & -0.19 x_{31} & -0.42 x_{18} & -0.86 x_{22} & +  0.13 x_{26} & -11.28 x_{5} & +  4.49 x_{10} & -21.02 x_{12} & +  0.72 x_{21} & +  0.05 x_{23} & -0.31 x_{24} & +  0.71 x_{25} & -0.13 x_{28} & + 18.11 x_{6} & -7.03 x_{14} & +  0.13 x_{29}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  3.44450537499 & +  0.01 x_{31} & -0.08 x_{18} & -0.04 x_{22} & +  0.06 x_{26} & -1.07 x_{5} & +  0.67 x_{10} & -2.07 x_{12} & +  0.06 x_{21} & -0.08 x_{23} & +  0.06 x_{24} & +  0.04 x_{25} & +  0.09 x_{28} & -0.61 x_{2} & +  0.50 x_{14} & +  0.05 x_{29}\\
 x_{17}   &  27.9049483901 & -0.24 x_{31} & -0.59 x_{18} & +  1.14 x_{22} & -0.06 x_{26} & + 19.87 x_{5} & + 10.28 x_{10} & -12.56 x_{12} & +  0.81 x_{21} & +  0.66 x_{23} & -0.64 x_{24} & +  1.40 x_{25} & -0.90 x_{28} & + 37.75 x_{2} & -7.26 x_{14} & +  0.04 x_{29}\\
 x_{6}   &  0.0812360204931 & +  0.00 x_{31} & -0.00 x_{18} & +  0.02 x_{22} & +  0.00 x_{26} & +  0.05 x_{5} & -0.10 x_{10} & +  0.80 x_{12} & -0.05 x_{21} & -0.01 x_{23} & +  0.03 x_{24} & -0.03 x_{25} & +  0.01 x_{28} & -0.51 x_{2} & +  0.17 x_{14} & -0.01 x_{29}\\
 x_{8}   &  3.12987911411 & -0.01 x_{31} & -0.03 x_{18} & -0.01 x_{22} & -0.01 x_{26} & -0.02 x_{5} & +  0.09 x_{10} & -0.09 x_{12} & +  0.01 x_{21} & +  0.00 x_{23} & -0.03 x_{24} & -0.01 x_{25} & -0.03 x_{28} & +  0.99 x_{2} & -0.13 x_{14} & +  0.03 x_{29}\\
 x_{20}   &  24.8389178607 & +  0.37 x_{31} & +  0.65 x_{18} & +  1.40 x_{22} & -0.18 x_{26} & + 32.07 x_{5} & +  2.16 x_{10} & + 15.21 x_{12} & -1.09 x_{21} & +  1.35 x_{23} & -0.51 x_{24} & +  0.64 x_{25} & -1.16 x_{28} & -0.51 x_{2} & -12.97 x_{14} & -1.15 x_{29}\\
 x_{19}   &  37.000277604 & -0.17 x_{31} & -0.06 x_{18} & -0.50 x_{22} & -0.41 x_{26} & +  6.96 x_{5} & +  5.97 x_{10} & -18.26 x_{12} & +  0.84 x_{21} & +  0.02 x_{23} & -0.21 x_{24} & +  0.09 x_{25} & +  0.12 x_{28} & + 15.68 x_{2} & -6.85 x_{14} & +  0.97 x_{29}\\
 x_{15}   &  1.19165180992 & -0.06 x_{31} & +  0.01 x_{18} & +  0.05 x_{22} & -0.02 x_{26} & +  0.99 x_{5} & -0.13 x_{10} & +  1.18 x_{12} & -0.00 x_{21} & +  0.02 x_{23} & +  0.00 x_{24} & +  0.05 x_{25} & -0.09 x_{28} & +  1.01 x_{2} & -0.48 x_{14} & +  0.00 x_{29}\\
 x_{9}   &  3.95036462087 & -0.04 x_{31} & -0.03 x_{18} & +  0.02 x_{22} & -0.03 x_{26} & -0.11 x_{5} & +  0.02 x_{10} & -0.49 x_{12} & +  0.04 x_{21} & -0.04 x_{23} & +  0.05 x_{24} & +  0.03 x_{25} & +  0.01 x_{28} & +  0.52 x_{2} & -0.26 x_{14} & +  0.02 x_{29}\\
 x_{7}   &  3.132116253 & -0.02 x_{31} & -0.09 x_{18} & +  0.02 x_{22} & +  0.05 x_{26} & -0.64 x_{5} & +  0.72 x_{10} & -1.31 x_{12} & -0.00 x_{21} & -0.05 x_{23} & +  0.01 x_{24} & +  0.03 x_{25} & +  0.03 x_{28} & +  0.02 x_{2} & -0.09 x_{14} & -0.02 x_{29}\\
 x_{16}   &  28.0716565075 & -0.49 x_{31} & -1.41 x_{18} & +  0.75 x_{22} & +  0.31 x_{26} & + 12.69 x_{5} & + 10.57 x_{10} & -3.14 x_{12} & -0.10 x_{21} & -0.15 x_{23} & -0.32 x_{24} & +  1.32 x_{25} & -1.12 x_{28} & + 18.24 x_{2} & -6.03 x_{14} & -0.41 x_{29}\\
 x_{4}   &  3.23694320427 & -0.04 x_{31} & -0.02 x_{18} & -0.01 x_{22} & -0.00 x_{26} & -0.47 x_{5} & -0.73 x_{10} & +  0.42 x_{12} & -0.02 x_{21} & -0.07 x_{23} & +  0.04 x_{24} & +  0.02 x_{25} & -0.06 x_{28} & +  0.08 x_{2} & -0.33 x_{14} & -0.03 x_{29}\\
 x_{27}   &  50.5453597389 & +  0.10 x_{31} & +  0.00 x_{18} & +  1.28 x_{22} & -0.68 x_{26} & +  6.34 x_{5} & +  2.30 x_{10} & -7.22 x_{12} & +  0.46 x_{21} & +  0.18 x_{23} & +  0.01 x_{24} & +  0.16 x_{25} & -0.05 x_{28} & + 16.43 x_{2} & -15.16 x_{14} & -0.45 x_{29}\\
 x_{11}   &  0.977179207032 & -0.03 x_{31} & -0.03 x_{18} & -0.05 x_{22} & +  0.01 x_{26} & -1.25 x_{5} & +  0.42 x_{10} & -0.45 x_{12} & -0.02 x_{21} & -0.07 x_{23} & +  0.02 x_{24} & -0.03 x_{25} & +  0.04 x_{28} & -0.81 x_{2} & +  0.21 x_{14} & +  0.03 x_{29}\\
 x_{3}   &  2.31836747894 & +  0.01 x_{31} & -0.05 x_{18} & -0.11 x_{22} & +  0.06 x_{26} & -1.49 x_{5} & +  0.28 x_{10} & -0.48 x_{12} & -0.01 x_{21} & -0.02 x_{23} & +  0.00 x_{24} & -0.07 x_{25} & +  0.05 x_{28} & -1.14 x_{2} & +  0.69 x_{14} & +  0.05 x_{29}\\
 x_{30}   &  57.5025372758 & -0.53 x_{31} & -1.74 x_{18} & +  0.36 x_{22} & +  0.54 x_{26} & -14.11 x_{5} & + 25.47 x_{10} & -6.86 x_{12} & -0.15 x_{21} & -0.76 x_{23} & +  0.54 x_{24} & +  0.97 x_{25} & +  0.14 x_{28} & + 14.06 x_{2} & -3.73 x_{14} & +  0.08 x_{29}\\
 x_{1}   &  4.18853217388 & +  0.01 x_{31} & -0.11 x_{18} & -0.07 x_{22} & +  0.04 x_{26} & -1.18 x_{5} & +  1.07 x_{10} & -1.70 x_{12} & +  0.00 x_{21} & -0.05 x_{23} & +  0.02 x_{24} & +  0.03 x_{25} & +  0.03 x_{28} & -0.24 x_{2} & -0.25 x_{14} & +  0.02 x_{29}\\
\hline
z    &  22.2742198699 & -0.12 x_{31} & -0.50 x_{18} & -0.44 x_{22} & +  0.22 x_{26} & -10.33 x_{5} & +  2.71 x_{10} & -6.54 x_{12} & -0.18 x_{21} & -0.19 x_{23} & +  0.19 x_{24} & +  0.10 x_{25} & +  0.04 x_{28} & -9.26 x_{2} & -3.98 x_{14} & -0.12 x_{29}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  3.9960093546 & +  0.04 x_{31} & -0.11 x_{18} & +  0.12 x_{22} & +  0.09 x_{26} & -0.71 x_{5} & -6.79 x_{6} & +  3.36 x_{12} & -0.27 x_{21} & -0.17 x_{23} & +  0.24 x_{24} & -0.19 x_{25} & +  0.16 x_{28} & -4.08 x_{2} & +  1.64 x_{14} & -0.04 x_{29}\\
 x_{17}   &  36.4203062853 & +  0.16 x_{31} & -1.07 x_{18} & +  3.59 x_{22} & +  0.42 x_{26} & + 25.40 x_{5} & -104.82 x_{6} & + 71.31 x_{12} & -4.34 x_{21} & -0.73 x_{23} & +  2.26 x_{24} & -2.14 x_{25} & +  0.12 x_{28} & -15.88 x_{2} & + 10.40 x_{14} & -1.40 x_{29}\\
 x_{10}   &  0.828553588592 & +  0.04 x_{31} & -0.05 x_{18} & +  0.24 x_{22} & +  0.05 x_{26} & +  0.54 x_{5} & -10.20 x_{6} & +  8.16 x_{12} & -0.50 x_{21} & -0.14 x_{23} & +  0.28 x_{24} & -0.35 x_{25} & +  0.10 x_{28} & -5.22 x_{2} & +  1.72 x_{14} & -0.14 x_{29}\\
 x_{8}   &  3.20608292531 & -0.01 x_{31} & -0.03 x_{18} & +  0.01 x_{22} & -0.00 x_{26} & +  0.03 x_{5} & -0.94 x_{6} & +  0.66 x_{12} & -0.03 x_{21} & -0.01 x_{23} & -0.00 x_{24} & -0.05 x_{25} & -0.02 x_{28} & +  0.51 x_{2} & +  0.03 x_{14} & +  0.02 x_{29}\\
 x_{20}   &  26.6306653741 & +  0.45 x_{31} & +  0.55 x_{18} & +  1.91 x_{22} & -0.08 x_{26} & + 33.23 x_{5} & -22.06 x_{6} & + 32.86 x_{12} & -2.18 x_{21} & +  1.06 x_{23} & +  0.10 x_{24} & -0.11 x_{25} & -0.94 x_{28} & -11.80 x_{2} & -9.26 x_{14} & -1.45 x_{29}\\
 x_{19}   &  41.9500901968 & +  0.07 x_{31} & -0.34 x_{18} & +  0.93 x_{22} & -0.13 x_{26} & + 10.18 x_{5} & -60.93 x_{6} & + 30.49 x_{12} & -2.16 x_{21} & -0.79 x_{23} & +  1.47 x_{24} & -1.97 x_{25} & +  0.71 x_{28} & -15.50 x_{2} & +  3.41 x_{14} & +  0.14 x_{29}\\
 x_{15}   &  1.08244771248 & -0.06 x_{31} & +  0.02 x_{18} & +  0.02 x_{22} & -0.02 x_{26} & +  0.92 x_{5} & +  1.34 x_{6} & +  0.10 x_{12} & +  0.06 x_{21} & +  0.04 x_{23} & -0.04 x_{24} & +  0.10 x_{25} & -0.10 x_{28} & +  1.70 x_{2} & -0.70 x_{14} & +  0.02 x_{29}\\
 x_{9}   &  3.96632176126 & -0.04 x_{31} & -0.03 x_{18} & +  0.02 x_{22} & -0.03 x_{26} & -0.10 x_{5} & -0.20 x_{6} & -0.33 x_{12} & +  0.03 x_{21} & -0.04 x_{23} & +  0.06 x_{24} & +  0.02 x_{25} & +  0.01 x_{28} & +  0.42 x_{2} & -0.23 x_{14} & +  0.01 x_{29}\\
 x_{7}   &  3.73164502449 & +  0.01 x_{31} & -0.13 x_{18} & +  0.19 x_{22} & +  0.08 x_{26} & -0.25 x_{5} & -7.38 x_{6} & +  4.60 x_{12} & -0.36 x_{21} & -0.15 x_{23} & +  0.21 x_{24} & -0.22 x_{25} & +  0.10 x_{28} & -3.75 x_{2} & +  1.15 x_{14} & -0.12 x_{29}\\
 x_{16}   &  36.8332725051 & -0.08 x_{31} & -1.91 x_{18} & +  3.28 x_{22} & +  0.81 x_{26} & + 18.38 x_{5} & -107.85 x_{6} & + 83.16 x_{12} & -5.40 x_{21} & -1.58 x_{23} & +  2.66 x_{24} & -2.33 x_{25} & -0.07 x_{28} & -36.94 x_{2} & + 12.14 x_{14} & -1.89 x_{29}\\
 x_{4}   &  2.63574977753 & -0.07 x_{31} & +  0.02 x_{18} & -0.18 x_{22} & -0.04 x_{26} & -0.86 x_{5} & +  7.40 x_{6} & -5.50 x_{12} & +  0.34 x_{21} & +  0.03 x_{23} & -0.17 x_{24} & +  0.27 x_{25} & -0.14 x_{28} & +  3.87 x_{2} & -1.58 x_{14} & +  0.07 x_{29}\\
 x_{27}   &  52.4522239505 & +  0.19 x_{31} & -0.10 x_{18} & +  1.83 x_{22} & -0.57 x_{26} & +  7.58 x_{5} & -23.47 x_{6} & + 11.56 x_{12} & -0.70 x_{21} & -0.13 x_{23} & +  0.65 x_{24} & -0.64 x_{25} & +  0.18 x_{28} & +  4.42 x_{2} & -11.20 x_{14} & -0.77 x_{29}\\
 x_{11}   &  1.32232764103 & -0.01 x_{31} & -0.05 x_{18} & +  0.05 x_{22} & +  0.03 x_{26} & -1.03 x_{5} & -4.25 x_{6} & +  2.95 x_{12} & -0.23 x_{21} & -0.13 x_{23} & +  0.14 x_{24} & -0.17 x_{25} & +  0.08 x_{28} & -2.99 x_{2} & +  0.93 x_{14} & -0.03 x_{29}\\
 x_{3}   &  2.55410823468 & +  0.03 x_{31} & -0.06 x_{18} & -0.04 x_{22} & +  0.07 x_{26} & -1.33 x_{5} & -2.90 x_{6} & +  1.84 x_{12} & -0.15 x_{21} & -0.06 x_{23} & +  0.08 x_{24} & -0.17 x_{25} & +  0.07 x_{28} & -2.63 x_{2} & +  1.18 x_{14} & +  0.01 x_{29}\\
 x_{30}   &  78.6028236997 & +  0.46 x_{31} & -2.95 x_{18} & +  6.44 x_{22} & +  1.73 x_{26} & -0.41 x_{5} & -259.74 x_{6} & + 200.97 x_{12} & -12.93 x_{21} & -4.20 x_{23} & +  7.71 x_{24} & -7.82 x_{25} & +  2.67 x_{28} & -118.84 x_{2} & + 40.03 x_{14} & -3.48 x_{29}\\
 x_{1}   &  5.07788704188 & +  0.05 x_{31} & -0.16 x_{18} & +  0.19 x_{22} & +  0.09 x_{26} & -0.60 x_{5} & -10.95 x_{6} & +  7.06 x_{12} & -0.54 x_{21} & -0.19 x_{23} & +  0.32 x_{24} & -0.34 x_{25} & +  0.14 x_{28} & -5.84 x_{2} & +  1.60 x_{14} & -0.13 x_{29}\\
\hline
z    &  24.5209876964 & -0.01 x_{31} & -0.63 x_{18} & +  0.21 x_{22} & +  0.34 x_{26} & -8.87 x_{5} & -27.66 x_{6} & + 15.59 x_{12} & -1.54 x_{21} & -0.56 x_{23} & +  0.96 x_{24} & -0.84 x_{25} & +  0.31 x_{28} & -23.41 x_{2} & +  0.67 x_{14} & -0.50 x_{29}\\
\end{array}\]


 $ x_{12} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  5.60686026652 & -0.00 x_{31} & -0.10 x_{18} & +  0.01 x_{22} & +  0.06 x_{26} & -1.24 x_{5} & -2.27 x_{6} & -0.61 x_{4} & -0.06 x_{21} & -0.15 x_{23} & +  0.14 x_{24} & -0.02 x_{25} & +  0.08 x_{28} & -1.72 x_{2} & +  0.68 x_{14} & +  0.00 x_{29}\\
 x_{17}   &  70.5904133132 & -0.75 x_{31} & -0.85 x_{18} & +  1.28 x_{22} & -0.08 x_{26} & + 14.27 x_{5} & -8.88 x_{6} & -12.96 x_{4} & +  0.12 x_{21} & -0.30 x_{23} & +  0.10 x_{24} & +  1.38 x_{25} & -1.64 x_{28} & + 34.26 x_{2} & -10.05 x_{14} & -0.48 x_{29}\\
 x_{10}   &  4.73896445421 & -0.07 x_{31} & -0.02 x_{18} & -0.03 x_{22} & -0.01 x_{26} & -0.74 x_{5} & +  0.78 x_{6} & -1.48 x_{4} & +  0.01 x_{21} & -0.09 x_{23} & +  0.04 x_{24} & +  0.06 x_{25} & -0.10 x_{28} & +  0.52 x_{2} & -0.62 x_{14} & -0.03 x_{29}\\
 x_{8}   &  3.52245462684 & -0.02 x_{31} & -0.03 x_{18} & -0.01 x_{22} & -0.01 x_{26} & -0.07 x_{5} & -0.05 x_{6} & -0.12 x_{4} & +  0.01 x_{21} & -0.01 x_{23} & -0.02 x_{24} & -0.01 x_{25} & -0.04 x_{28} & +  0.97 x_{2} & -0.16 x_{14} & +  0.03 x_{29}\\
 x_{20}   &  42.3771684166 & +  0.03 x_{31} & +  0.65 x_{18} & +  0.84 x_{22} & -0.31 x_{26} & + 28.10 x_{5} & + 22.16 x_{6} & -5.97 x_{4} & -0.12 x_{21} & +  1.25 x_{23} & -0.89 x_{24} & +  1.52 x_{25} & -1.75 x_{28} & + 11.31 x_{2} & -18.68 x_{14} & -1.03 x_{29}\\
 x_{19}   &  56.5598328805 & -0.32 x_{31} & -0.25 x_{18} & -0.06 x_{22} & -0.34 x_{26} & +  5.42 x_{5} & -19.91 x_{6} & -5.54 x_{4} & -0.25 x_{21} & -0.61 x_{23} & +  0.55 x_{24} & -0.46 x_{25} & -0.04 x_{28} & +  5.94 x_{2} & -5.33 x_{14} & +  0.53 x_{29}\\
 x_{15}   &  1.13185408246 & -0.06 x_{31} & +  0.02 x_{18} & +  0.02 x_{22} & -0.02 x_{26} & +  0.90 x_{5} & +  1.48 x_{6} & -0.02 x_{4} & +  0.07 x_{21} & +  0.04 x_{23} & -0.04 x_{24} & +  0.10 x_{25} & -0.11 x_{28} & +  1.77 x_{2} & -0.73 x_{14} & +  0.02 x_{29}\\
 x_{9}   &  3.80603565779 & -0.04 x_{31} & -0.03 x_{18} & +  0.03 x_{22} & -0.03 x_{26} & -0.04 x_{5} & -0.65 x_{6} & +  0.06 x_{4} & +  0.01 x_{21} & -0.04 x_{23} & +  0.07 x_{24} & +  0.01 x_{25} & +  0.02 x_{28} & +  0.18 x_{2} & -0.13 x_{14} & +  0.01 x_{29}\\
 x_{7}   &  5.93389018541 & -0.05 x_{31} & -0.11 x_{18} & +  0.04 x_{22} & +  0.05 x_{26} & -0.96 x_{5} & -1.20 x_{6} & -0.84 x_{4} & -0.08 x_{21} & -0.12 x_{23} & +  0.07 x_{24} & +  0.01 x_{25} & -0.01 x_{28} & -0.52 x_{2} & -0.17 x_{14} & -0.06 x_{29}\\
 x_{16}   &  76.6798326943 & -1.14 x_{31} & -1.64 x_{18} & +  0.57 x_{22} & +  0.23 x_{26} & +  5.40 x_{5} & +  4.03 x_{6} & -15.12 x_{4} & -0.20 x_{21} & -1.09 x_{23} & +  0.14 x_{24} & +  1.78 x_{25} & -2.13 x_{28} & + 21.52 x_{2} & -11.71 x_{14} & -0.81 x_{29}\\
 x_{12}   &  0.47917578744 & -0.01 x_{31} & +  0.00 x_{18} & -0.03 x_{22} & -0.01 x_{26} & -0.16 x_{5} & +  1.35 x_{6} & -0.18 x_{4} & +  0.06 x_{21} & +  0.01 x_{23} & -0.03 x_{24} & +  0.05 x_{25} & -0.02 x_{28} & +  0.70 x_{2} & -0.29 x_{14} & +  0.01 x_{29}\\
 x_{27}   &  57.9935494762 & +  0.04 x_{31} & -0.07 x_{18} & +  1.46 x_{22} & -0.65 x_{26} & +  5.78 x_{5} & -7.91 x_{6} & -2.10 x_{4} & +  0.03 x_{21} & -0.06 x_{23} & +  0.30 x_{24} & -0.07 x_{25} & -0.11 x_{28} & + 12.55 x_{2} & -14.52 x_{14} & -0.62 x_{29}\\
 x_{11}   &  2.73513025891 & -0.05 x_{31} & -0.04 x_{18} & -0.05 x_{22} & +  0.00 x_{26} & -1.49 x_{5} & -0.28 x_{6} & -0.54 x_{4} & -0.05 x_{21} & -0.11 x_{23} & +  0.05 x_{24} & -0.02 x_{25} & +  0.01 x_{28} & -0.91 x_{2} & +  0.08 x_{14} & +  0.01 x_{29}\\
 x_{3}   &  3.43497488997 & +  0.00 x_{31} & -0.05 x_{18} & -0.10 x_{22} & +  0.06 x_{26} & -1.62 x_{5} & -0.43 x_{6} & -0.33 x_{4} & -0.04 x_{21} & -0.05 x_{23} & +  0.03 x_{24} & -0.07 x_{25} & +  0.03 x_{28} & -1.34 x_{2} & +  0.65 x_{14} & +  0.03 x_{29}\\
 x_{30}   &  174.900526412 & -2.10 x_{31} & -2.32 x_{18} & -0.08 x_{22} & +  0.33 x_{26} & -31.79 x_{5} & + 10.64 x_{6} & -36.54 x_{4} & -0.34 x_{21} & -3.00 x_{23} & +  1.64 x_{24} & +  2.12 x_{25} & -2.30 x_{28} & + 22.46 x_{2} & -17.60 x_{14} & -0.87 x_{29}\\
 x_{1}   &  8.46154951456 & -0.04 x_{31} & -0.13 x_{18} & -0.04 x_{22} & +  0.04 x_{26} & -1.70 x_{5} & -1.45 x_{6} & -1.28 x_{4} & -0.10 x_{21} & -0.15 x_{23} & +  0.11 x_{24} & +  0.01 x_{25} & -0.03 x_{28} & -0.87 x_{2} & -0.43 x_{14} & -0.04 x_{29}\\
\hline
z    &  31.9932280711 & -0.21 x_{31} & -0.58 x_{18} & -0.30 x_{22} & +  0.24 x_{26} & -11.30 x_{5} & -6.68 x_{6} & -2.83 x_{4} & -0.56 x_{21} & -0.46 x_{23} & +  0.48 x_{24} & -0.06 x_{25} & -0.07 x_{28} & -12.45 x_{2} & -3.80 x_{14} & -0.29 x_{29}\\
\end{array}\]


 $ x_{24} $ enters and $ x_{12} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  7.85614271269 & -0.06 x_{31} & -0.09 x_{18} & -0.14 x_{22} & +  0.03 x_{26} & -1.97 x_{5} & +  4.05 x_{6} & -1.46 x_{4} & +  0.23 x_{21} & -0.12 x_{23} & -4.69 x_{12} & +  0.21 x_{25} & -0.04 x_{28} & +  1.58 x_{2} & -0.67 x_{14} & +  0.06 x_{29}\\
 x_{17}   &  72.1887607266 & -0.79 x_{31} & -0.84 x_{18} & +  1.17 x_{22} & -0.10 x_{26} & + 13.75 x_{5} & -4.39 x_{6} & -13.57 x_{4} & +  0.33 x_{21} & -0.28 x_{23} & -3.34 x_{12} & +  1.55 x_{25} & -1.72 x_{28} & + 36.60 x_{2} & -11.01 x_{14} & -0.43 x_{29}\\
 x_{10}   &  5.29423650734 & -0.08 x_{31} & -0.02 x_{18} & -0.06 x_{22} & -0.02 x_{26} & -0.92 x_{5} & +  2.34 x_{6} & -1.69 x_{4} & +  0.08 x_{21} & -0.08 x_{23} & -1.16 x_{12} & +  0.12 x_{25} & -0.13 x_{28} & +  1.33 x_{2} & -0.95 x_{14} & -0.02 x_{29}\\
 x_{8}   &  3.15993156914 & -0.01 x_{31} & -0.03 x_{18} & +  0.02 x_{22} & -0.00 x_{26} & +  0.05 x_{5} & -1.07 x_{6} & +  0.02 x_{4} & -0.04 x_{21} & -0.01 x_{23} & +  0.76 x_{12} & -0.05 x_{25} & -0.02 x_{28} & +  0.44 x_{2} & +  0.06 x_{14} & +  0.02 x_{29}\\
 x_{20}   &  28.2322430509 & +  0.41 x_{31} & +  0.56 x_{18} & +  1.80 x_{22} & -0.11 x_{26} & + 32.71 x_{5} & -17.56 x_{6} & -0.61 x_{4} & -1.97 x_{21} & +  1.08 x_{23} & + 29.52 x_{12} & +  0.06 x_{25} & -1.03 x_{28} & -9.45 x_{2} & -10.22 x_{14} & -1.41 x_{29}\\
 x_{19}   &  65.2424348855 & -0.55 x_{31} & -0.19 x_{18} & -0.65 x_{22} & -0.47 x_{26} & +  2.59 x_{5} & +  4.47 x_{6} & -8.84 x_{4} & +  0.89 x_{21} & -0.50 x_{23} & -18.12 x_{12} & +  0.44 x_{25} & -0.49 x_{28} & + 18.68 x_{2} & -10.52 x_{14} & +  0.77 x_{29}\\
 x_{15}   &  0.501394703187 & -0.05 x_{31} & +  0.01 x_{18} & +  0.06 x_{22} & -0.01 x_{26} & +  1.11 x_{5} & -0.29 x_{6} & +  0.22 x_{4} & -0.01 x_{21} & +  0.03 x_{23} & +  1.32 x_{12} & +  0.04 x_{25} & -0.07 x_{28} & +  0.85 x_{2} & -0.36 x_{14} & +  0.00 x_{29}\\
 x_{9}   &  4.87270205922 & -0.06 x_{31} & -0.03 x_{18} & -0.04 x_{22} & -0.04 x_{26} & -0.39 x_{5} & +  2.35 x_{6} & -0.34 x_{4} & +  0.15 x_{21} & -0.03 x_{23} & -2.23 x_{12} & +  0.12 x_{25} & -0.03 x_{28} & +  1.75 x_{2} & -0.77 x_{14} & +  0.04 x_{29}\\
 x_{7}   &  7.09828280501 & -0.08 x_{31} & -0.11 x_{18} & -0.04 x_{22} & +  0.03 x_{26} & -1.34 x_{5} & +  2.07 x_{6} & -1.28 x_{4} & +  0.08 x_{21} & -0.10 x_{23} & -2.43 x_{12} & +  0.13 x_{25} & -0.07 x_{28} & +  1.19 x_{2} & -0.86 x_{14} & -0.03 x_{29}\\
 x_{16}   &  78.9721810283 & -1.20 x_{31} & -1.63 x_{18} & +  0.42 x_{22} & +  0.19 x_{26} & +  4.65 x_{5} & + 10.46 x_{6} & -15.99 x_{4} & +  0.10 x_{21} & -1.06 x_{23} & -4.78 x_{12} & +  2.02 x_{25} & -2.24 x_{28} & + 24.89 x_{2} & -13.08 x_{14} & -0.75 x_{29}\\
 x_{24}   &  15.8603972962 & -0.42 x_{31} & +  0.10 x_{18} & -1.08 x_{22} & -0.23 x_{26} & -5.17 x_{5} & + 44.53 x_{6} & -6.02 x_{4} & +  2.07 x_{21} & +  0.20 x_{23} & -33.10 x_{12} & +  1.64 x_{25} & -0.82 x_{28} & + 23.27 x_{2} & -9.49 x_{14} & +  0.43 x_{29}\\
 x_{27}   &  62.8297344501 & -0.09 x_{31} & -0.04 x_{18} & +  1.13 x_{22} & -0.72 x_{26} & +  4.20 x_{5} & +  5.66 x_{6} & -3.94 x_{4} & +  0.66 x_{21} & -0.00 x_{23} & -10.09 x_{12} & +  0.43 x_{25} & -0.36 x_{28} & + 19.65 x_{2} & -17.41 x_{14} & -0.49 x_{29}\\
 x_{11}   &  3.47677132527 & -0.07 x_{31} & -0.04 x_{18} & -0.10 x_{22} & -0.01 x_{26} & -1.73 x_{5} & +  1.80 x_{6} & -0.82 x_{4} & +  0.05 x_{21} & -0.10 x_{23} & -1.55 x_{12} & +  0.05 x_{25} & -0.03 x_{28} & +  0.17 x_{2} & -0.36 x_{14} & +  0.03 x_{29}\\
 x_{3}   &  3.87523066616 & -0.01 x_{31} & -0.05 x_{18} & -0.13 x_{22} & +  0.06 x_{26} & -1.76 x_{5} & +  0.81 x_{6} & -0.50 x_{4} & +  0.02 x_{21} & -0.04 x_{23} & -0.92 x_{12} & -0.03 x_{25} & +  0.01 x_{28} & -0.69 x_{2} & +  0.39 x_{14} & +  0.05 x_{29}\\
 x_{30}   &  200.891737499 & -2.80 x_{31} & -2.14 x_{18} & -1.85 x_{22} & -0.05 x_{26} & -40.26 x_{5} & + 83.62 x_{6} & -46.40 x_{4} & +  3.05 x_{21} & -2.68 x_{23} & -54.24 x_{12} & +  4.80 x_{25} & -3.64 x_{28} & + 60.60 x_{2} & -33.16 x_{14} & -0.17 x_{29}\\
 x_{1}   &  10.1726262702 & -0.08 x_{31} & -0.12 x_{18} & -0.16 x_{22} & +  0.01 x_{26} & -2.26 x_{5} & +  3.36 x_{6} & -1.93 x_{4} & +  0.13 x_{21} & -0.13 x_{23} & -3.57 x_{12} & +  0.19 x_{25} & -0.12 x_{28} & +  1.64 x_{2} & -1.45 x_{14} & +  0.01 x_{29}\\
\hline
z    &  39.6848839774 & -0.42 x_{31} & -0.53 x_{18} & -0.82 x_{22} & +  0.12 x_{26} & -13.81 x_{5} & + 14.92 x_{6} & -5.75 x_{4} & +  0.45 x_{21} & -0.37 x_{23} & -16.05 x_{12} & +  0.73 x_{25} & -0.47 x_{28} & -1.16 x_{2} & -8.40 x_{14} & -0.09 x_{29}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{20} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  14.3669802981 & +  0.03 x_{31} & +  0.04 x_{18} & +  0.28 x_{22} & +  0.01 x_{26} & +  5.57 x_{5} & -0.23 x_{20} & -1.60 x_{4} & -0.22 x_{21} & +  0.13 x_{23} & +  2.11 x_{12} & +  0.22 x_{25} & -0.28 x_{28} & -0.59 x_{2} & -3.02 x_{14} & -0.26 x_{29}\\
 x_{17}   &  65.1257593666 & -0.89 x_{31} & -0.98 x_{18} & +  0.72 x_{22} & -0.08 x_{26} & +  5.57 x_{5} & +  0.25 x_{20} & -13.42 x_{4} & +  0.82 x_{21} & -0.55 x_{23} & -10.72 x_{12} & +  1.54 x_{25} & -1.46 x_{28} & + 38.97 x_{2} & -8.45 x_{14} & -0.08 x_{29}\\
 x_{10}   &  9.05538622749 & -0.03 x_{31} & +  0.06 x_{18} & +  0.18 x_{22} & -0.03 x_{26} & +  3.44 x_{5} & -0.13 x_{20} & -1.78 x_{4} & -0.18 x_{21} & +  0.06 x_{23} & +  2.77 x_{12} & +  0.12 x_{25} & -0.27 x_{28} & +  0.08 x_{2} & -2.32 x_{14} & -0.21 x_{29}\\
 x_{8}   &  1.44335209525 & -0.03 x_{31} & -0.07 x_{18} & -0.09 x_{22} & +  0.00 x_{26} & -1.94 x_{5} & +  0.06 x_{20} & +  0.05 x_{4} & +  0.08 x_{21} & -0.08 x_{23} & -1.04 x_{12} & -0.05 x_{25} & +  0.04 x_{28} & +  1.02 x_{2} & +  0.68 x_{14} & +  0.11 x_{29}\\
 x_{6}   &  1.60783091302 & +  0.02 x_{31} & +  0.03 x_{18} & +  0.10 x_{22} & -0.01 x_{26} & +  1.86 x_{5} & -0.06 x_{20} & -0.03 x_{4} & -0.11 x_{21} & +  0.06 x_{23} & +  1.68 x_{12} & +  0.00 x_{25} & -0.06 x_{28} & -0.54 x_{2} & -0.58 x_{14} & -0.08 x_{29}\\
 x_{19}   &  72.4266637907 & -0.45 x_{31} & -0.05 x_{18} & -0.19 x_{22} & -0.49 x_{26} & + 10.91 x_{5} & -0.25 x_{20} & -8.99 x_{4} & +  0.39 x_{21} & -0.22 x_{23} & -10.61 x_{12} & +  0.45 x_{25} & -0.75 x_{28} & + 16.28 x_{2} & -13.12 x_{14} & +  0.41 x_{29}\\
 x_{15}   &  0.0396561857719 & -0.05 x_{31} & +  0.00 x_{18} & +  0.03 x_{22} & -0.01 x_{26} & +  0.57 x_{5} & +  0.02 x_{20} & +  0.23 x_{4} & +  0.02 x_{21} & +  0.01 x_{23} & +  0.83 x_{12} & +  0.04 x_{25} & -0.06 x_{28} & +  1.00 x_{2} & -0.19 x_{14} & +  0.03 x_{29}\\
 x_{9}   &  8.64865647069 & -0.01 x_{31} & +  0.05 x_{18} & +  0.20 x_{22} & -0.06 x_{26} & +  3.98 x_{5} & -0.13 x_{20} & -0.43 x_{4} & -0.11 x_{21} & +  0.11 x_{23} & +  1.72 x_{12} & +  0.12 x_{25} & -0.17 x_{28} & +  0.48 x_{2} & -2.14 x_{14} & -0.15 x_{29}\\
 x_{7}   &  10.4307638498 & -0.03 x_{31} & -0.04 x_{18} & +  0.18 x_{22} & +  0.02 x_{26} & +  2.52 x_{5} & -0.12 x_{20} & -1.35 x_{4} & -0.16 x_{21} & +  0.02 x_{23} & +  1.05 x_{12} & +  0.14 x_{25} & -0.19 x_{28} & +  0.07 x_{2} & -2.07 x_{14} & -0.20 x_{29}\\
 x_{16}   &  95.7941095167 & -0.96 x_{31} & -1.30 x_{18} & +  1.49 x_{22} & +  0.13 x_{26} & + 24.14 x_{5} & -0.60 x_{20} & -16.35 x_{4} & -1.07 x_{21} & -0.42 x_{23} & + 12.80 x_{12} & +  2.05 x_{25} & -2.86 x_{28} & + 19.26 x_{2} & -19.17 x_{14} & -1.59 x_{29}\\
 x_{24}   &  87.4608619822 & +  0.62 x_{31} & +  1.52 x_{18} & +  3.50 x_{22} & -0.50 x_{26} & + 77.79 x_{5} & -2.54 x_{20} & -7.56 x_{4} & -2.91 x_{21} & +  2.93 x_{23} & + 41.77 x_{12} & +  1.78 x_{25} & -3.42 x_{28} & -0.69 x_{2} & -35.40 x_{14} & -3.14 x_{29}\\
 x_{27}   &  71.9373209566 & +  0.04 x_{31} & +  0.14 x_{18} & +  1.71 x_{22} & -0.75 x_{26} & + 14.75 x_{5} & -0.32 x_{20} & -4.13 x_{4} & +  0.02 x_{21} & +  0.35 x_{23} & -0.57 x_{12} & +  0.45 x_{25} & -0.69 x_{28} & + 16.60 x_{2} & -20.71 x_{14} & -0.94 x_{29}\\
 x_{11}   &  6.37162082043 & -0.03 x_{31} & +  0.02 x_{18} & +  0.09 x_{22} & -0.02 x_{26} & +  1.62 x_{5} & -0.10 x_{20} & -0.88 x_{4} & -0.15 x_{21} & +  0.01 x_{23} & +  1.48 x_{12} & +  0.06 x_{25} & -0.13 x_{28} & -0.80 x_{2} & -1.41 x_{14} & -0.11 x_{29}\\
 x_{3}   &  5.17352660906 & +  0.01 x_{31} & -0.03 x_{18} & -0.05 x_{22} & +  0.05 x_{26} & -0.26 x_{5} & -0.05 x_{20} & -0.53 x_{4} & -0.07 x_{21} & +  0.01 x_{23} & +  0.44 x_{12} & -0.03 x_{25} & -0.04 x_{28} & -1.12 x_{2} & -0.08 x_{14} & -0.02 x_{29}\\
 x_{30}   &  335.336182099 & -0.84 x_{31} & +  0.50 x_{18} & +  6.74 x_{22} & -0.56 x_{26} & + 115.50 x_{5} & -4.76 x_{20} & -49.29 x_{4} & -6.31 x_{21} & +  2.45 x_{23} & + 86.33 x_{12} & +  5.07 x_{25} & -8.52 x_{28} & + 15.60 x_{2} & -81.81 x_{14} & -6.87 x_{29}\\
 x_{1}   &  15.5702145754 & -0.00 x_{31} & -0.02 x_{18} & +  0.19 x_{22} & -0.01 x_{26} & +  4.00 x_{5} & -0.19 x_{20} & -2.05 x_{4} & -0.25 x_{21} & +  0.07 x_{23} & +  2.07 x_{12} & +  0.20 x_{25} & -0.32 x_{28} & -0.17 x_{2} & -3.40 x_{14} & -0.26 x_{29}\\
\hline
z    &  63.6728129812 & -0.07 x_{31} & -0.06 x_{18} & +  0.71 x_{22} & +  0.03 x_{26} & + 13.98 x_{5} & -0.85 x_{20} & -6.27 x_{4} & -1.22 x_{21} & +  0.55 x_{23} & +  9.03 x_{12} & +  0.78 x_{25} & -1.34 x_{28} & -9.19 x_{2} & -17.08 x_{14} & -1.28 x_{29}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  18.5130717269 & -0.06 x_{31} & -0.15 x_{18} & +  0.01 x_{22} & +  0.02 x_{26} & -2.87 x_{8} & -0.06 x_{20} & -1.45 x_{4} & +  0.01 x_{21} & -0.09 x_{23} & -0.87 x_{12} & +  0.06 x_{25} & -0.16 x_{28} & +  2.32 x_{2} & -1.08 x_{14} & +  0.04 x_{29}\\
 x_{17}   &  69.2647684492 & -0.98 x_{31} & -1.17 x_{18} & +  0.45 x_{22} & -0.06 x_{26} & -2.87 x_{8} & +  0.42 x_{20} & -13.26 x_{4} & +  1.05 x_{21} & -0.77 x_{23} & -13.70 x_{12} & +  1.38 x_{25} & -1.35 x_{28} & + 41.88 x_{2} & -6.51 x_{14} & +  0.22 x_{29}\\
 x_{10}   &  11.614063142 & -0.08 x_{31} & -0.06 x_{18} & +  0.01 x_{22} & -0.03 x_{26} & -1.77 x_{8} & -0.03 x_{20} & -1.68 x_{4} & -0.04 x_{21} & -0.07 x_{23} & +  0.93 x_{12} & +  0.03 x_{25} & -0.20 x_{28} & +  1.88 x_{2} & -1.11 x_{14} & -0.02 x_{29}\\
 x_{5}   &  0.743735870482 & -0.02 x_{31} & -0.03 x_{18} & -0.05 x_{22} & +  0.00 x_{26} & -0.52 x_{8} & +  0.03 x_{20} & +  0.03 x_{4} & +  0.04 x_{21} & -0.04 x_{23} & -0.54 x_{12} & -0.03 x_{25} & +  0.02 x_{28} & +  0.52 x_{2} & +  0.35 x_{14} & +  0.05 x_{29}\\
 x_{6}   &  2.99325361645 & -0.01 x_{31} & -0.03 x_{18} & +  0.01 x_{22} & -0.00 x_{26} & -0.96 x_{8} & +  0.00 x_{20} & +  0.02 x_{4} & -0.04 x_{21} & -0.01 x_{23} & +  0.68 x_{12} & -0.05 x_{25} & -0.02 x_{28} & +  0.44 x_{2} & +  0.07 x_{14} & +  0.02 x_{29}\\
 x_{19}   &  80.5400691918 & -0.63 x_{31} & -0.42 x_{18} & -0.72 x_{22} & -0.47 x_{26} & -5.62 x_{8} & +  0.09 x_{20} & -8.69 x_{4} & +  0.83 x_{21} & -0.65 x_{23} & -16.44 x_{12} & +  0.14 x_{25} & -0.52 x_{28} & + 21.99 x_{2} & -9.32 x_{14} & +  1.00 x_{29}\\
 x_{15}   &  0.465116295535 & -0.06 x_{31} & -0.02 x_{18} & +  0.00 x_{22} & -0.01 x_{26} & -0.29 x_{8} & +  0.03 x_{20} & +  0.25 x_{4} & +  0.04 x_{21} & -0.01 x_{23} & +  0.53 x_{12} & +  0.02 x_{25} & -0.05 x_{28} & +  1.30 x_{2} & +  0.01 x_{14} & +  0.06 x_{29}\\
 x_{9}   &  11.6117262086 & -0.08 x_{31} & -0.09 x_{18} & +  0.01 x_{22} & -0.05 x_{26} & -2.05 x_{8} & -0.01 x_{20} & -0.31 x_{4} & +  0.05 x_{21} & -0.04 x_{23} & -0.41 x_{12} & +  0.01 x_{25} & -0.09 x_{28} & +  2.57 x_{2} & -0.75 x_{14} & +  0.07 x_{29}\\
 x_{7}   &  12.3031119745 & -0.07 x_{31} & -0.13 x_{18} & +  0.05 x_{22} & +  0.02 x_{26} & -1.30 x_{8} & -0.04 x_{20} & -1.28 x_{4} & -0.05 x_{21} & -0.08 x_{23} & -0.29 x_{12} & +  0.07 x_{25} & -0.14 x_{28} & +  1.39 x_{2} & -1.19 x_{14} & -0.06 x_{29}\\
 x_{16}   &  113.747803718 & -1.35 x_{31} & -2.12 x_{18} & +  0.32 x_{22} & +  0.18 x_{26} & -12.44 x_{8} & +  0.16 x_{20} & -15.67 x_{4} & -0.08 x_{21} & -1.37 x_{23} & -0.11 x_{12} & +  1.38 x_{25} & -2.35 x_{28} & + 31.90 x_{2} & -10.74 x_{14} & -0.28 x_{29}\\
 x_{24}   &  145.312853911 & -0.66 x_{31} & -1.15 x_{18} & -0.28 x_{22} & -0.34 x_{26} & -40.08 x_{8} & -0.10 x_{20} & -5.38 x_{4} & +  0.27 x_{21} & -0.13 x_{23} & +  0.15 x_{12} & -0.40 x_{25} & -1.80 x_{28} & + 40.05 x_{2} & -8.25 x_{14} & +  1.07 x_{29}\\
 x_{27}   &  82.9088983353 & -0.20 x_{31} & -0.36 x_{18} & +  1.00 x_{22} & -0.72 x_{26} & -7.60 x_{8} & +  0.14 x_{20} & -3.72 x_{4} & +  0.63 x_{21} & -0.24 x_{23} & -8.46 x_{12} & +  0.04 x_{25} & -0.38 x_{28} & + 24.32 x_{2} & -15.56 x_{14} & -0.14 x_{29}\\
 x_{11}   &  7.57725328169 & -0.05 x_{31} & -0.03 x_{18} & +  0.01 x_{22} & -0.01 x_{26} & -0.84 x_{8} & -0.05 x_{20} & -0.83 x_{4} & -0.08 x_{21} & -0.05 x_{23} & +  0.61 x_{12} & +  0.01 x_{25} & -0.10 x_{28} & +  0.05 x_{2} & -0.84 x_{14} & -0.03 x_{29}\\
 x_{3}   &  4.98098880907 & +  0.01 x_{31} & -0.02 x_{18} & -0.04 x_{22} & +  0.05 x_{26} & +  0.13 x_{8} & -0.05 x_{20} & -0.54 x_{4} & -0.08 x_{21} & +  0.02 x_{23} & +  0.58 x_{12} & -0.02 x_{25} & -0.05 x_{28} & -1.26 x_{2} & -0.17 x_{14} & -0.03 x_{29}\\
 x_{30}   &  421.239346068 & -2.74 x_{31} & -3.45 x_{18} & +  1.13 x_{22} & -0.32 x_{26} & -59.52 x_{8} & -1.14 x_{20} & -46.05 x_{4} & -1.58 x_{21} & -2.10 x_{23} & + 24.54 x_{12} & +  1.84 x_{25} & -6.11 x_{28} & + 76.10 x_{2} & -41.49 x_{14} & -0.61 x_{29}\\
 x_{1}   &  18.5419156021 & -0.07 x_{31} & -0.15 x_{18} & -0.01 x_{22} & +  0.00 x_{26} & -2.06 x_{8} & -0.07 x_{20} & -1.94 x_{4} & -0.08 x_{21} & -0.08 x_{23} & -0.06 x_{12} & +  0.09 x_{25} & -0.23 x_{28} & +  1.92 x_{2} & -2.01 x_{14} & -0.05 x_{29}\\
\hline
z    &  74.071987558 & -0.30 x_{31} & -0.54 x_{18} & +  0.03 x_{22} & +  0.06 x_{26} & -7.20 x_{8} & -0.41 x_{20} & -5.88 x_{4} & -0.65 x_{21} & -0.00 x_{23} & +  1.55 x_{12} & +  0.39 x_{25} & -1.05 x_{28} & -1.87 x_{2} & -12.20 x_{14} & -0.53 x_{29}\\
\end{array}\]


 $ x_{12} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  17.3051587348 & -0.03 x_{31} & -0.10 x_{18} & +  0.08 x_{22} & +  0.01 x_{26} & -2.04 x_{8} & -0.11 x_{20} & -1.49 x_{4} & -0.06 x_{21} & -0.03 x_{23} & +  1.62 x_{5} & +  0.11 x_{25} & -0.19 x_{28} & +  1.47 x_{2} & -1.64 x_{14} & -0.05 x_{29}\\
 x_{17}   &  50.222625016 & -0.56 x_{31} & -0.29 x_{18} & +  1.69 x_{22} & -0.12 x_{26} & + 10.33 x_{8} & -0.38 x_{20} & -13.98 x_{4} & +  0.00 x_{21} & +  0.24 x_{23} & + 25.60 x_{5} & +  2.10 x_{25} & -1.88 x_{28} & + 28.47 x_{2} & -15.45 x_{14} & -1.17 x_{29}\\
 x_{10}   &  12.9113615016 & -0.11 x_{31} & -0.12 x_{18} & -0.08 x_{22} & -0.02 x_{26} & -2.67 x_{8} & +  0.03 x_{20} & -1.63 x_{4} & +  0.03 x_{21} & -0.14 x_{23} & -1.74 x_{5} & -0.02 x_{25} & -0.16 x_{28} & +  2.79 x_{2} & -0.51 x_{14} & +  0.07 x_{29}\\
 x_{12}   &  1.39013936919 & -0.03 x_{31} & -0.06 x_{18} & -0.09 x_{22} & +  0.00 x_{26} & -0.96 x_{8} & +  0.06 x_{20} & +  0.05 x_{4} & +  0.08 x_{21} & -0.07 x_{23} & -1.87 x_{5} & -0.05 x_{25} & +  0.04 x_{28} & +  0.98 x_{2} & +  0.65 x_{14} & +  0.10 x_{29}\\
 x_{6}   &  3.94483315017 & -0.03 x_{31} & -0.08 x_{18} & -0.05 x_{22} & +  0.00 x_{26} & -1.62 x_{8} & +  0.04 x_{20} & +  0.05 x_{4} & +  0.02 x_{21} & -0.06 x_{23} & -1.28 x_{5} & -0.08 x_{25} & +  0.01 x_{28} & +  1.11 x_{2} & +  0.51 x_{14} & +  0.09 x_{29}\\
 x_{19}   &  57.6798880568 & -0.12 x_{31} & +  0.63 x_{18} & +  0.77 x_{22} & -0.53 x_{26} & + 10.22 x_{8} & -0.88 x_{20} & -9.55 x_{4} & -0.42 x_{21} & +  0.56 x_{23} & + 30.74 x_{5} & +  1.00 x_{25} & -1.16 x_{28} & +  5.89 x_{2} & -20.05 x_{14} & -0.67 x_{29}\\
 x_{15}   &  1.19754248993 & -0.08 x_{31} & -0.05 x_{18} & -0.05 x_{22} & -0.01 x_{26} & -0.80 x_{8} & +  0.07 x_{20} & +  0.27 x_{4} & +  0.08 x_{21} & -0.05 x_{23} & -0.98 x_{5} & -0.01 x_{25} & -0.03 x_{28} & +  1.82 x_{2} & +  0.36 x_{14} & +  0.11 x_{29}\\
 x_{9}   &  11.0425417442 & -0.06 x_{31} & -0.06 x_{18} & +  0.05 x_{22} & -0.05 x_{26} & -1.66 x_{8} & -0.03 x_{20} & -0.33 x_{4} & +  0.02 x_{21} & -0.01 x_{23} & +  0.77 x_{5} & +  0.03 x_{25} & -0.10 x_{28} & +  2.17 x_{2} & -1.02 x_{14} & +  0.02 x_{29}\\
 x_{7}   &  11.8965410271 & -0.07 x_{31} & -0.11 x_{18} & +  0.08 x_{22} & +  0.02 x_{26} & -1.02 x_{8} & -0.06 x_{20} & -1.29 x_{4} & -0.08 x_{21} & -0.05 x_{23} & +  0.55 x_{5} & +  0.08 x_{25} & -0.15 x_{28} & +  1.11 x_{2} & -1.38 x_{14} & -0.09 x_{29}\\
 x_{16}   &  113.594648203 & -1.35 x_{31} & -2.12 x_{18} & +  0.33 x_{22} & +  0.18 x_{26} & -12.33 x_{8} & +  0.15 x_{20} & -15.68 x_{4} & -0.09 x_{21} & -1.36 x_{23} & +  0.21 x_{5} & +  1.38 x_{25} & -2.36 x_{28} & + 31.79 x_{2} & -10.81 x_{14} & -0.29 x_{29}\\
 x_{24}   &  145.520347188 & -0.67 x_{31} & -1.16 x_{18} & -0.30 x_{22} & -0.34 x_{26} & -40.23 x_{8} & -0.09 x_{20} & -5.37 x_{4} & +  0.28 x_{21} & -0.14 x_{23} & -0.28 x_{5} & -0.40 x_{25} & -1.79 x_{28} & + 40.20 x_{2} & -8.15 x_{14} & +  1.09 x_{29}\\
 x_{27}   &  71.1450298817 & +  0.06 x_{31} & +  0.18 x_{18} & +  1.76 x_{22} & -0.76 x_{26} & +  0.55 x_{8} & -0.36 x_{20} & -4.16 x_{4} & -0.02 x_{21} & +  0.39 x_{23} & + 15.82 x_{5} & +  0.48 x_{25} & -0.71 x_{28} & + 16.04 x_{2} & -21.08 x_{14} & -1.00 x_{29}\\
 x_{11}   &  8.42774182516 & -0.07 x_{31} & -0.07 x_{18} & -0.05 x_{22} & -0.01 x_{26} & -1.42 x_{8} & -0.02 x_{20} & -0.80 x_{4} & -0.04 x_{21} & -0.10 x_{23} & -1.14 x_{5} & -0.02 x_{25} & -0.08 x_{28} & +  0.65 x_{2} & -0.44 x_{14} & +  0.04 x_{29}\\
 x_{3}   &  5.78338759372 & -0.00 x_{31} & -0.05 x_{18} & -0.09 x_{22} & +  0.05 x_{26} & -0.42 x_{8} & -0.02 x_{20} & -0.51 x_{4} & -0.04 x_{21} & -0.02 x_{23} & -1.08 x_{5} & -0.05 x_{25} & -0.02 x_{28} & -0.69 x_{2} & +  0.21 x_{14} & +  0.03 x_{29}\\
 x_{30}   &  455.349617452 & -3.50 x_{31} & -5.02 x_{18} & -1.10 x_{22} & -0.22 x_{26} & -83.15 x_{8} & +  0.29 x_{20} & -44.76 x_{4} & +  0.29 x_{21} & -3.90 x_{23} & -45.86 x_{5} & +  0.55 x_{25} & -5.15 x_{28} & + 100.12 x_{2} & -25.49 x_{14} & +  1.87 x_{29}\\
 x_{1}   &  18.4516626602 & -0.07 x_{31} & -0.15 x_{18} & -0.00 x_{22} & +  0.00 x_{26} & -2.00 x_{8} & -0.07 x_{20} & -1.94 x_{4} & -0.09 x_{21} & -0.08 x_{23} & +  0.12 x_{5} & +  0.09 x_{25} & -0.24 x_{28} & +  1.86 x_{2} & -2.05 x_{14} & -0.05 x_{29}\\
\hline
z    &  76.2252632978 & -0.35 x_{31} & -0.64 x_{18} & -0.11 x_{22} & +  0.07 x_{26} & -8.70 x_{8} & -0.32 x_{20} & -5.80 x_{4} & -0.53 x_{21} & -0.12 x_{23} & -2.90 x_{5} & +  0.31 x_{25} & -0.99 x_{28} & -0.35 x_{2} & -11.19 x_{14} & -0.37 x_{29}\\
\end{array}\]


 $ x_{25} $ enters and $ x_{12} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  20.2252511633 & -0.10 x_{31} & -0.23 x_{18} & -0.11 x_{22} & +  0.02 x_{26} & -4.06 x_{8} & +  0.02 x_{20} & -1.38 x_{4} & +  0.10 x_{21} & -0.18 x_{23} & -2.30 x_{5} & -2.10 x_{12} & -0.11 x_{28} & +  3.53 x_{2} & -0.27 x_{14} & +  0.16 x_{29}\\
 x_{17}   &  105.914916886 & -1.80 x_{31} & -2.85 x_{18} & -1.95 x_{22} & +  0.04 x_{26} & -28.26 x_{8} & +  1.97 x_{20} & -11.88 x_{4} & +  3.07 x_{21} & -2.71 x_{23} & -49.28 x_{5} & -40.06 x_{12} & -0.32 x_{28} & + 67.69 x_{2} & + 10.69 x_{14} & +  2.89 x_{29}\\
 x_{10}   &  12.3318573475 & -0.10 x_{31} & -0.09 x_{18} & -0.04 x_{22} & -0.02 x_{26} & -2.27 x_{8} & +  0.00 x_{20} & -1.65 x_{4} & +  0.00 x_{21} & -0.11 x_{23} & -0.97 x_{5} & +  0.42 x_{12} & -0.18 x_{28} & +  2.38 x_{2} & -0.78 x_{14} & +  0.03 x_{29}\\
 x_{25}   &  26.5678381586 & -0.59 x_{31} & -1.22 x_{18} & -1.74 x_{22} & +  0.07 x_{26} & -18.41 x_{8} & +  1.12 x_{20} & +  1.00 x_{4} & +  1.46 x_{21} & -1.41 x_{23} & -35.72 x_{5} & -19.11 x_{12} & +  0.75 x_{28} & + 18.71 x_{2} & + 12.47 x_{14} & +  1.94 x_{29}\\
 x_{6}   &  1.69305346896 & +  0.02 x_{31} & +  0.03 x_{18} & +  0.10 x_{22} & -0.01 x_{26} & -0.06 x_{8} & -0.05 x_{20} & -0.03 x_{4} & -0.11 x_{21} & +  0.06 x_{23} & +  1.75 x_{5} & +  1.62 x_{12} & -0.06 x_{28} & -0.48 x_{2} & -0.54 x_{14} & -0.07 x_{29}\\
 x_{19}   &  84.379005962 & -0.71 x_{31} & -0.60 x_{18} & -0.97 x_{22} & -0.46 x_{26} & -8.28 x_{8} & +  0.25 x_{20} & -8.54 x_{4} & +  1.04 x_{21} & -0.86 x_{23} & -5.16 x_{5} & -19.21 x_{12} & -0.41 x_{28} & + 24.69 x_{2} & -7.51 x_{14} & +  1.28 x_{29}\\
 x_{15}   &  1.00568724131 & -0.07 x_{31} & -0.04 x_{18} & -0.03 x_{22} & -0.01 x_{26} & -0.67 x_{8} & +  0.06 x_{20} & +  0.27 x_{4} & +  0.07 x_{21} & -0.04 x_{23} & -0.73 x_{5} & +  0.14 x_{12} & -0.03 x_{28} & +  1.68 x_{2} & +  0.27 x_{14} & +  0.10 x_{29}\\
 x_{9}   &  11.9497145823 & -0.08 x_{31} & -0.10 x_{18} & -0.01 x_{22} & -0.05 x_{26} & -2.29 x_{8} & +  0.01 x_{20} & -0.30 x_{4} & +  0.07 x_{21} & -0.06 x_{23} & -0.45 x_{5} & -0.65 x_{12} & -0.08 x_{28} & +  2.81 x_{2} & -0.59 x_{14} & +  0.09 x_{29}\\
 x_{7}   &  14.0953046311 & -0.11 x_{31} & -0.21 x_{18} & -0.06 x_{22} & +  0.03 x_{26} & -2.54 x_{8} & +  0.04 x_{20} & -1.21 x_{4} & +  0.05 x_{21} & -0.17 x_{23} & -2.41 x_{5} & -1.58 x_{12} & -0.09 x_{28} & +  2.65 x_{2} & -0.35 x_{14} & +  0.07 x_{29}\\
 x_{16}   &  150.376822398 & -2.17 x_{31} & -3.81 x_{18} & -2.07 x_{22} & +  0.28 x_{26} & -37.82 x_{8} & +  1.70 x_{20} & -14.29 x_{4} & +  1.94 x_{21} & -3.30 x_{23} & -49.25 x_{5} & -26.46 x_{12} & -1.32 x_{28} & + 57.70 x_{2} & +  6.45 x_{14} & +  2.39 x_{29}\\
 x_{24}   &  134.766536172 & -0.43 x_{31} & -0.66 x_{18} & +  0.41 x_{22} & -0.37 x_{26} & -32.77 x_{8} & -0.54 x_{20} & -5.77 x_{4} & -0.31 x_{21} & +  0.42 x_{23} & + 14.18 x_{5} & +  7.74 x_{12} & -2.09 x_{28} & + 32.62 x_{2} & -13.20 x_{14} & +  0.31 x_{29}\\
 x_{27}   &  83.9046814832 & -0.22 x_{31} & -0.41 x_{18} & +  0.93 x_{22} & -0.72 x_{26} & -8.29 x_{8} & +  0.18 x_{20} & -3.68 x_{4} & +  0.68 x_{21} & -0.29 x_{23} & -1.34 x_{5} & -9.18 x_{12} & -0.35 x_{28} & + 25.02 x_{2} & -15.09 x_{14} & -0.07 x_{29}\\
 x_{11}   &  7.91331913563 & -0.06 x_{31} & -0.05 x_{18} & -0.01 x_{22} & -0.01 x_{26} & -1.07 x_{8} & -0.04 x_{20} & -0.82 x_{4} & -0.07 x_{21} & -0.07 x_{23} & -0.45 x_{5} & +  0.37 x_{12} & -0.09 x_{28} & +  0.29 x_{2} & -0.68 x_{14} & -0.00 x_{29}\\
 x_{3}   &  4.4634279845 & +  0.03 x_{31} & +  0.01 x_{18} & -0.00 x_{22} & +  0.05 x_{26} & +  0.49 x_{8} & -0.08 x_{20} & -0.56 x_{4} & -0.11 x_{21} & +  0.05 x_{23} & +  0.70 x_{5} & +  0.95 x_{12} & -0.06 x_{28} & -1.62 x_{2} & -0.41 x_{14} & -0.07 x_{29}\\
 x_{30}   &  470.054256467 & -3.82 x_{31} & -5.70 x_{18} & -2.06 x_{22} & -0.18 x_{26} & -93.34 x_{8} & +  0.91 x_{20} & -44.21 x_{4} & +  1.10 x_{21} & -4.68 x_{23} & -65.63 x_{5} & -10.58 x_{12} & -4.74 x_{28} & + 110.48 x_{2} & -18.58 x_{14} & +  2.94 x_{29}\\
 x_{1}   &  20.8554739796 & -0.12 x_{31} & -0.26 x_{18} & -0.16 x_{22} & +  0.01 x_{26} & -3.66 x_{8} & +  0.03 x_{20} & -1.85 x_{4} & +  0.04 x_{21} & -0.20 x_{23} & -3.11 x_{5} & -1.73 x_{12} & -0.17 x_{28} & +  3.55 x_{2} & -0.92 x_{14} & +  0.12 x_{29}\\
\hline
z    &  84.3372874809 & -0.53 x_{31} & -1.01 x_{18} & -0.64 x_{22} & +  0.09 x_{26} & -14.32 x_{8} & +  0.02 x_{20} & -5.49 x_{4} & -0.09 x_{21} & -0.55 x_{23} & -13.80 x_{5} & -5.84 x_{12} & -0.76 x_{28} & +  5.36 x_{2} & -7.38 x_{14} & +  0.22 x_{29}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  29.926954236 & -0.04 x_{31} & -0.22 x_{18} & -0.12 x_{22} & +  0.13 x_{26} & -2.99 x_{8} & -0.15 x_{20} & -2.59 x_{4} & -0.14 x_{21} & -0.08 x_{23} & -0.79 x_{5} & -0.04 x_{12} & -0.24 x_{28} & -2.17 x_{3} & -1.17 x_{14} & +  0.01 x_{29}\\
 x_{17}   &  291.925120611 & -0.73 x_{31} & -2.58 x_{18} & -2.14 x_{22} & +  2.07 x_{26} & -7.76 x_{8} & -1.19 x_{20} & -35.05 x_{4} & -1.53 x_{21} & -0.75 x_{23} & -20.28 x_{5} & -0.49 x_{12} & -2.84 x_{28} & -41.67 x_{3} & -6.55 x_{14} & -0.07 x_{29}\\
 x_{10}   &  18.8789826488 & -0.06 x_{31} & -0.08 x_{18} & -0.04 x_{22} & +  0.05 x_{26} & -1.55 x_{8} & -0.11 x_{20} & -2.47 x_{4} & -0.16 x_{21} & -0.04 x_{23} & +  0.06 x_{5} & +  1.81 x_{12} & -0.26 x_{28} & -1.47 x_{3} & -1.38 x_{14} & -0.07 x_{29}\\
 x_{25}   &  77.9802504407 & -0.29 x_{31} & -1.15 x_{18} & -1.79 x_{22} & +  0.64 x_{26} & -12.74 x_{8} & +  0.24 x_{20} & -5.40 x_{4} & +  0.19 x_{21} & -0.86 x_{23} & -27.71 x_{5} & -8.17 x_{12} & +  0.05 x_{28} & -11.52 x_{3} & +  7.70 x_{14} & +  1.12 x_{29}\\
 x_{6}   &  0.379319161552 & +  0.01 x_{31} & +  0.03 x_{18} & +  0.10 x_{22} & -0.02 x_{26} & -0.20 x_{8} & -0.03 x_{20} & +  0.13 x_{4} & -0.07 x_{21} & +  0.04 x_{23} & +  1.54 x_{5} & +  1.34 x_{12} & -0.04 x_{28} & +  0.29 x_{3} & -0.42 x_{14} & -0.05 x_{29}\\
 x_{19}   &  152.230859884 & -0.32 x_{31} & -0.50 x_{18} & -1.04 x_{22} & +  0.28 x_{26} & -0.80 x_{8} & -0.90 x_{20} & -16.99 x_{4} & -0.63 x_{21} & -0.14 x_{23} & +  5.42 x_{5} & -4.77 x_{12} & -1.33 x_{28} & -15.20 x_{3} & -13.80 x_{14} & +  0.20 x_{29}\\
 x_{15}   &  5.62686661035 & -0.05 x_{31} & -0.04 x_{18} & -0.04 x_{22} & +  0.04 x_{26} & -0.16 x_{8} & -0.02 x_{20} & -0.31 x_{4} & -0.04 x_{21} & +  0.01 x_{23} & -0.01 x_{5} & +  1.12 x_{12} & -0.09 x_{28} & -1.04 x_{3} & -0.16 x_{14} & +  0.02 x_{29}\\
 x_{9}   &  19.6631849584 & -0.04 x_{31} & -0.09 x_{18} & -0.02 x_{22} & +  0.04 x_{26} & -1.44 x_{8} & -0.13 x_{20} & -1.26 x_{4} & -0.12 x_{21} & +  0.02 x_{23} & +  0.75 x_{5} & +  0.99 x_{12} & -0.18 x_{28} & -1.73 x_{3} & -1.30 x_{14} & -0.03 x_{29}\\
 x_{7}   &  21.3874128648 & -0.07 x_{31} & -0.20 x_{18} & -0.07 x_{22} & +  0.11 x_{26} & -1.74 x_{8} & -0.09 x_{20} & -2.12 x_{4} & -0.13 x_{21} & -0.09 x_{23} & -1.27 x_{5} & -0.03 x_{12} & -0.19 x_{28} & -1.63 x_{3} & -1.02 x_{14} & -0.05 x_{29}\\
 x_{16}   &  308.912319834 & -1.26 x_{31} & -3.57 x_{18} & -2.24 x_{22} & +  2.01 x_{26} & -20.34 x_{8} & -0.99 x_{20} & -34.04 x_{4} & -1.99 x_{21} & -1.64 x_{23} & -24.53 x_{5} & +  7.27 x_{12} & -3.47 x_{28} & -35.52 x_{3} & -8.24 x_{14} & -0.13 x_{29}\\
 x_{24}   &  224.408275086 & +  0.08 x_{31} & -0.53 x_{18} & +  0.31 x_{22} & +  0.61 x_{26} & -22.89 x_{8} & -2.07 x_{20} & -16.94 x_{4} & -2.53 x_{21} & +  1.37 x_{23} & + 28.16 x_{5} & + 26.81 x_{12} & -3.30 x_{28} & -20.08 x_{3} & -21.51 x_{14} & -1.12 x_{29}\\
 x_{27}   &  152.667693345 & +  0.17 x_{31} & -0.31 x_{18} & +  0.86 x_{22} & +  0.03 x_{26} & -0.71 x_{8} & -0.99 x_{20} & -12.25 x_{4} & -1.02 x_{21} & +  0.44 x_{23} & +  9.38 x_{5} & +  5.45 x_{12} & -1.28 x_{28} & -15.41 x_{3} & -21.46 x_{14} & -1.17 x_{29}\\
 x_{11}   &  8.71145315158 & -0.05 x_{31} & -0.05 x_{18} & -0.01 x_{22} & -0.00 x_{26} & -0.98 x_{8} & -0.05 x_{20} & -0.92 x_{4} & -0.08 x_{21} & -0.06 x_{23} & -0.33 x_{5} & +  0.54 x_{12} & -0.10 x_{28} & -0.18 x_{3} & -0.76 x_{14} & -0.01 x_{29}\\
 x_{2}   &  2.74778151339 & +  0.02 x_{31} & +  0.00 x_{18} & -0.00 x_{22} & +  0.03 x_{26} & +  0.30 x_{8} & -0.05 x_{20} & -0.34 x_{4} & -0.07 x_{21} & +  0.03 x_{23} & +  0.43 x_{5} & +  0.58 x_{12} & -0.04 x_{28} & -0.62 x_{3} & -0.25 x_{14} & -0.04 x_{29}\\
 x_{30}   &  773.618459321 & -2.09 x_{31} & -5.24 x_{18} & -2.38 x_{22} & +  3.14 x_{26} & -59.88 x_{8} & -4.25 x_{20} & -82.02 x_{4} & -6.41 x_{21} & -1.49 x_{23} & -18.31 x_{5} & + 54.00 x_{12} & -8.85 x_{28} & -68.01 x_{3} & -46.72 x_{14} & -1.89 x_{29}\\
 x_{1}   &  30.6180345172 & -0.07 x_{31} & -0.25 x_{18} & -0.17 x_{22} & +  0.11 x_{26} & -2.59 x_{8} & -0.13 x_{20} & -3.07 x_{4} & -0.20 x_{21} & -0.10 x_{23} & -1.59 x_{5} & +  0.35 x_{12} & -0.30 x_{28} & -2.19 x_{3} & -1.83 x_{14} & -0.03 x_{29}\\
\hline
z    &  99.0649403283 & -0.44 x_{31} & -0.99 x_{18} & -0.65 x_{22} & +  0.25 x_{26} & -12.69 x_{8} & -0.23 x_{20} & -7.32 x_{4} & -0.45 x_{21} & -0.39 x_{23} & -11.51 x_{5} & -2.70 x_{12} & -0.96 x_{28} & -3.30 x_{3} & -8.75 x_{14} & -0.01 x_{29}\\
\end{array}\]


 $ x_{26} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  32.3324819774 & +  0.05 x_{31} & -0.05 x_{18} & +  0.51 x_{22} & -6.34 x_{6} & -4.28 x_{8} & -0.35 x_{20} & -1.75 x_{4} & -0.61 x_{21} & +  0.19 x_{23} & +  9.00 x_{5} & +  8.46 x_{12} & -0.49 x_{28} & -0.31 x_{3} & -3.84 x_{14} & -0.33 x_{29}\\
 x_{17}   &  330.819302752 & +  0.70 x_{31} & +  0.07 x_{18} & +  7.96 x_{22} & -102.54 x_{6} & -28.66 x_{8} & -4.38 x_{20} & -21.49 x_{4} & -9.20 x_{21} & +  3.66 x_{23} & + 137.98 x_{5} & + 136.94 x_{12} & -6.76 x_{28} & -11.49 x_{3} & -49.62 x_{14} & -5.51 x_{29}\\
 x_{10}   &  19.787555278 & -0.03 x_{31} & -0.02 x_{18} & +  0.19 x_{22} & -2.40 x_{6} & -2.04 x_{8} & -0.18 x_{20} & -2.15 x_{4} & -0.34 x_{21} & +  0.06 x_{23} & +  3.75 x_{5} & +  5.02 x_{12} & -0.36 x_{28} & -0.76 x_{3} & -2.39 x_{14} & -0.20 x_{29}\\
 x_{25}   &  89.9157655226 & +  0.15 x_{31} & -0.33 x_{18} & +  1.31 x_{22} & -31.47 x_{6} & -19.15 x_{8} & -0.73 x_{20} & -1.24 x_{4} & -2.16 x_{21} & +  0.49 x_{23} & + 20.86 x_{5} & + 34.00 x_{12} & -1.15 x_{28} & -2.26 x_{3} & -5.51 x_{14} & -0.55 x_{29}\\
 x_{26}   &  18.7836856924 & +  0.69 x_{31} & +  1.28 x_{18} & +  4.88 x_{22} & -49.52 x_{6} & -10.09 x_{8} & -1.54 x_{20} & +  6.55 x_{4} & -3.70 x_{21} & +  2.13 x_{23} & + 76.43 x_{5} & + 66.37 x_{12} & -1.89 x_{28} & + 14.58 x_{3} & -20.80 x_{14} & -2.63 x_{29}\\
 x_{19}   &  157.515842466 & -0.13 x_{31} & -0.14 x_{18} & +  0.33 x_{22} & -13.93 x_{6} & -3.64 x_{8} & -1.34 x_{20} & -15.15 x_{4} & -1.68 x_{21} & +  0.46 x_{23} & + 26.92 x_{5} & + 13.90 x_{12} & -1.86 x_{28} & -11.10 x_{3} & -19.66 x_{14} & -0.54 x_{29}\\
 x_{15}   &  6.41352125299 & -0.02 x_{31} & +  0.02 x_{18} & +  0.16 x_{22} & -2.07 x_{6} & -0.58 x_{8} & -0.09 x_{20} & -0.03 x_{4} & -0.20 x_{21} & +  0.10 x_{23} & +  3.19 x_{5} & +  3.90 x_{12} & -0.17 x_{28} & -0.42 x_{3} & -1.03 x_{14} & -0.09 x_{29}\\
 x_{9}   &  20.3246779132 & -0.01 x_{31} & -0.05 x_{18} & +  0.15 x_{22} & -1.74 x_{6} & -1.79 x_{8} & -0.18 x_{20} & -1.03 x_{4} & -0.25 x_{21} & +  0.09 x_{23} & +  3.44 x_{5} & +  3.33 x_{12} & -0.25 x_{28} & -1.21 x_{3} & -2.04 x_{14} & -0.12 x_{29}\\
 x_{7}   &  23.4171639947 & +  0.00 x_{31} & -0.06 x_{18} & +  0.46 x_{22} & -5.35 x_{6} & -2.83 x_{8} & -0.25 x_{20} & -1.41 x_{4} & -0.54 x_{21} & +  0.14 x_{23} & +  6.99 x_{5} & +  7.14 x_{12} & -0.39 x_{28} & -0.06 x_{3} & -3.27 x_{14} & -0.33 x_{29}\\
 x_{16}   &  346.74711093 & +  0.14 x_{31} & -1.00 x_{18} & +  7.59 x_{22} & -99.74 x_{6} & -40.67 x_{8} & -4.09 x_{20} & -20.85 x_{4} & -9.45 x_{21} & +  2.65 x_{23} & + 129.41 x_{5} & + 140.96 x_{12} & -7.28 x_{28} & -6.16 x_{3} & -50.14 x_{14} & -5.43 x_{29}\\
 x_{24}   &  235.849150673 & +  0.51 x_{31} & +  0.25 x_{18} & +  3.29 x_{22} & -30.16 x_{6} & -29.04 x_{8} & -3.00 x_{20} & -12.95 x_{4} & -4.79 x_{21} & +  2.67 x_{23} & + 74.71 x_{5} & + 67.23 x_{12} & -4.46 x_{28} & -11.21 x_{3} & -34.18 x_{14} & -2.72 x_{29}\\
 x_{27}   &  153.249935278 & +  0.19 x_{31} & -0.27 x_{18} & +  1.01 x_{22} & -1.53 x_{6} & -1.02 x_{8} & -1.04 x_{20} & -12.04 x_{4} & -1.13 x_{21} & +  0.50 x_{23} & + 11.75 x_{5} & +  7.51 x_{12} & -1.34 x_{28} & -14.95 x_{3} & -22.11 x_{14} & -1.25 x_{29}\\
 x_{11}   &  8.63898499712 & -0.06 x_{31} & -0.05 x_{18} & -0.03 x_{22} & +  0.19 x_{6} & -0.94 x_{8} & -0.05 x_{20} & -0.95 x_{4} & -0.07 x_{21} & -0.07 x_{23} & -0.62 x_{5} & +  0.28 x_{12} & -0.09 x_{28} & -0.24 x_{3} & -0.68 x_{14} & -0.00 x_{29}\\
 x_{2}   &  3.31184290165 & +  0.04 x_{31} & +  0.04 x_{18} & +  0.14 x_{22} & -1.49 x_{6} & -0.00 x_{8} & -0.09 x_{20} & -0.15 x_{4} & -0.18 x_{21} & +  0.09 x_{23} & +  2.72 x_{5} & +  2.58 x_{12} & -0.09 x_{28} & -0.18 x_{3} & -0.88 x_{14} & -0.12 x_{29}\\
 x_{30}   &  832.510169601 & +  0.09 x_{31} & -1.24 x_{18} & + 12.92 x_{22} & -155.26 x_{6} & -91.53 x_{8} & -9.07 x_{20} & -61.49 x_{4} & -18.02 x_{21} & +  5.19 x_{23} & + 221.31 x_{5} & + 262.10 x_{12} & -14.78 x_{28} & -22.31 x_{3} & -111.93 x_{14} & -10.13 x_{29}\\
 x_{1}   &  32.7752568885 & +  0.01 x_{31} & -0.10 x_{18} & +  0.39 x_{22} & -5.69 x_{6} & -3.75 x_{8} & -0.31 x_{20} & -2.31 x_{4} & -0.62 x_{21} & +  0.14 x_{23} & +  7.19 x_{5} & +  7.97 x_{12} & -0.52 x_{28} & -0.51 x_{3} & -4.22 x_{14} & -0.33 x_{29}\\
\hline
z    &  103.782484732 & -0.27 x_{31} & -0.67 x_{18} & +  0.57 x_{22} & -12.44 x_{6} & -15.23 x_{8} & -0.62 x_{20} & -5.68 x_{4} & -1.38 x_{21} & +  0.14 x_{23} & +  7.69 x_{5} & + 13.97 x_{12} & -1.44 x_{28} & +  0.36 x_{3} & -13.97 x_{14} & -0.67 x_{29}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{27} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  29.186051598 & +  0.04 x_{31} & -0.05 x_{18} & +  0.49 x_{22} & -6.31 x_{6} & -4.26 x_{8} & -0.32 x_{20} & -1.51 x_{4} & -0.59 x_{21} & +  0.18 x_{23} & +  8.76 x_{5} & +  8.31 x_{12} & -0.46 x_{28} & +  0.02 x_{27} & -3.38 x_{14} & -0.30 x_{29}\\
 x_{17}   &  213.025158001 & +  0.55 x_{31} & +  0.27 x_{18} & +  7.18 x_{22} & -101.36 x_{6} & -27.87 x_{8} & -3.58 x_{20} & -12.23 x_{4} & -8.33 x_{21} & +  3.27 x_{23} & + 128.94 x_{5} & + 131.17 x_{12} & -5.72 x_{28} & +  0.77 x_{27} & -32.63 x_{14} & -4.55 x_{29}\\
 x_{10}   &  11.980294882 & -0.04 x_{31} & -0.01 x_{18} & +  0.14 x_{22} & -2.32 x_{6} & -1.98 x_{8} & -0.13 x_{20} & -1.54 x_{4} & -0.28 x_{21} & +  0.04 x_{23} & +  3.15 x_{5} & +  4.64 x_{12} & -0.29 x_{28} & +  0.05 x_{27} & -1.26 x_{14} & -0.14 x_{29}\\
 x_{25}   &  66.7837007293 & +  0.12 x_{31} & -0.29 x_{18} & +  1.16 x_{22} & -31.23 x_{6} & -19.00 x_{8} & -0.57 x_{20} & +  0.58 x_{4} & -1.99 x_{21} & +  0.41 x_{23} & + 19.08 x_{5} & + 32.87 x_{12} & -0.95 x_{28} & +  0.15 x_{27} & -2.18 x_{14} & -0.36 x_{29}\\
 x_{26}   &  168.150988665 & +  0.88 x_{31} & +  1.02 x_{18} & +  5.86 x_{22} & -51.02 x_{6} & -11.09 x_{8} & -2.55 x_{20} & -5.19 x_{4} & -4.81 x_{21} & +  2.62 x_{23} & + 87.88 x_{5} & + 73.69 x_{12} & -3.20 x_{28} & -0.97 x_{27} & -42.35 x_{14} & -3.84 x_{29}\\
 x_{19}   &  43.7539782476 & -0.27 x_{31} & +  0.06 x_{18} & -0.42 x_{22} & -12.79 x_{6} & -2.88 x_{8} & -0.57 x_{20} & -6.21 x_{4} & -0.83 x_{21} & +  0.08 x_{23} & + 18.20 x_{5} & +  8.33 x_{12} & -0.87 x_{28} & +  0.74 x_{27} & -3.24 x_{14} & +  0.39 x_{29}\\
 x_{15}   &  2.05874541029 & -0.02 x_{31} & +  0.03 x_{18} & +  0.14 x_{22} & -2.03 x_{6} & -0.55 x_{8} & -0.06 x_{20} & +  0.31 x_{4} & -0.17 x_{21} & +  0.08 x_{23} & +  2.86 x_{5} & +  3.69 x_{12} & -0.13 x_{28} & +  0.03 x_{27} & -0.41 x_{14} & -0.05 x_{29}\\
 x_{9}   &  7.87471858124 & -0.03 x_{31} & -0.03 x_{18} & +  0.07 x_{22} & -1.62 x_{6} & -1.71 x_{8} & -0.10 x_{20} & -0.05 x_{4} & -0.16 x_{21} & +  0.05 x_{23} & +  2.49 x_{5} & +  2.72 x_{12} & -0.14 x_{28} & +  0.08 x_{27} & -0.24 x_{14} & -0.02 x_{29}\\
 x_{7}   &  22.8150001313 & +  0.00 x_{31} & -0.06 x_{18} & +  0.45 x_{22} & -5.35 x_{6} & -2.82 x_{8} & -0.25 x_{20} & -1.36 x_{4} & -0.53 x_{21} & +  0.13 x_{23} & +  6.94 x_{5} & +  7.11 x_{12} & -0.39 x_{28} & +  0.00 x_{27} & -3.18 x_{14} & -0.33 x_{29}\\
 x_{16}   &  283.610658263 & +  0.06 x_{31} & -0.89 x_{18} & +  7.17 x_{22} & -99.11 x_{6} & -40.25 x_{8} & -3.66 x_{20} & -15.88 x_{4} & -8.98 x_{21} & +  2.45 x_{23} & + 124.57 x_{5} & + 137.87 x_{12} & -6.73 x_{28} & +  0.41 x_{27} & -41.03 x_{14} & -4.92 x_{29}\\
 x_{24}   &  121.009176678 & +  0.36 x_{31} & +  0.45 x_{18} & +  2.53 x_{22} & -29.01 x_{6} & -28.27 x_{8} & -2.23 x_{20} & -3.93 x_{4} & -3.94 x_{21} & +  2.29 x_{23} & + 65.90 x_{5} & + 61.61 x_{12} & -3.45 x_{28} & +  0.75 x_{27} & -17.61 x_{14} & -1.79 x_{29}\\
 x_{3}   &  10.248032623 & +  0.01 x_{31} & -0.02 x_{18} & +  0.07 x_{22} & -0.10 x_{6} & -0.07 x_{8} & -0.07 x_{20} & -0.81 x_{4} & -0.08 x_{21} & +  0.03 x_{23} & +  0.79 x_{5} & +  0.50 x_{12} & -0.09 x_{28} & -0.07 x_{27} & -1.48 x_{14} & -0.08 x_{29}\\
 x_{11}   &  6.23020436224 & -0.06 x_{31} & -0.05 x_{18} & -0.05 x_{22} & +  0.22 x_{6} & -0.93 x_{8} & -0.03 x_{20} & -0.76 x_{4} & -0.05 x_{21} & -0.08 x_{23} & -0.81 x_{5} & +  0.17 x_{12} & -0.07 x_{28} & +  0.02 x_{27} & -0.33 x_{14} & +  0.01 x_{29}\\
 x_{2}   &  1.48833450701 & +  0.03 x_{31} & +  0.05 x_{18} & +  0.13 x_{22} & -1.47 x_{6} & +  0.01 x_{8} & -0.08 x_{20} & -0.00 x_{4} & -0.17 x_{21} & +  0.09 x_{23} & +  2.58 x_{5} & +  2.49 x_{12} & -0.08 x_{28} & +  0.01 x_{27} & -0.62 x_{14} & -0.11 x_{29}\\
 x_{30}   &  603.831732503 & -0.20 x_{31} & -0.84 x_{18} & + 11.41 x_{22} & -152.97 x_{6} & -90.00 x_{8} & -7.52 x_{20} & -43.51 x_{4} & -16.33 x_{21} & +  4.44 x_{23} & + 203.78 x_{5} & + 250.90 x_{12} & -12.78 x_{28} & +  1.49 x_{27} & -78.94 x_{14} & -8.27 x_{29}\\
 x_{1}   &  27.5145809174 & +  0.01 x_{31} & -0.09 x_{18} & +  0.36 x_{22} & -5.63 x_{6} & -3.71 x_{8} & -0.28 x_{20} & -1.90 x_{4} & -0.59 x_{21} & +  0.13 x_{23} & +  6.79 x_{5} & +  7.71 x_{12} & -0.47 x_{28} & +  0.03 x_{27} & -3.46 x_{14} & -0.29 x_{29}\\
\hline
z    &  107.481558324 & -0.26 x_{31} & -0.67 x_{18} & +  0.60 x_{22} & -12.47 x_{6} & -15.25 x_{8} & -0.64 x_{20} & -5.97 x_{4} & -1.41 x_{21} & +  0.15 x_{23} & +  7.97 x_{5} & + 14.15 x_{12} & -1.47 x_{28} & -0.02 x_{27} & -14.51 x_{14} & -0.70 x_{29}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  96.7917539768 & -0.61 x_{31} & -0.58 x_{18} & -0.05 x_{22} & -3.98 x_{6} & -14.30 x_{8} & -0.64 x_{20} & -9.72 x_{4} & -1.16 x_{21} & -0.66 x_{23} & -10.85 x_{11} & + 10.11 x_{12} & -1.26 x_{28} & +  0.19 x_{27} & -6.96 x_{14} & -0.14 x_{29}\\
 x_{17}   &  1208.51007284 & -9.09 x_{31} & -7.65 x_{18} & -0.71 x_{22} & -66.98 x_{6} & -175.69 x_{8} & -8.21 x_{20} & -133.17 x_{4} & -16.75 x_{21} & -9.11 x_{23} & -159.78 x_{11} & + 157.66 x_{12} & -17.53 x_{28} & +  3.28 x_{27} & -85.38 x_{14} & -2.19 x_{29}\\
 x_{10}   &  36.3287215096 & -0.27 x_{31} & -0.20 x_{18} & -0.05 x_{22} & -1.48 x_{6} & -5.60 x_{8} & -0.24 x_{20} & -4.49 x_{4} & -0.49 x_{21} & -0.27 x_{23} & -3.91 x_{11} & +  5.29 x_{12} & -0.58 x_{28} & +  0.11 x_{27} & -2.55 x_{14} & -0.08 x_{29}\\
 x_{25}   &  214.112250301 & -1.31 x_{31} & -1.47 x_{18} & -0.01 x_{22} & -26.15 x_{6} & -40.88 x_{8} & -1.26 x_{20} & -17.32 x_{4} & -3.24 x_{21} & -1.42 x_{23} & -23.65 x_{11} & + 36.79 x_{12} & -2.70 x_{28} & +  0.52 x_{27} & -9.98 x_{14} & -0.01 x_{29}\\
 x_{26}   &  846.618408534 & -5.70 x_{31} & -4.38 x_{18} & +  0.48 x_{22} & -27.58 x_{6} & -111.84 x_{8} & -5.70 x_{20} & -87.62 x_{4} & -10.54 x_{21} & -5.82 x_{23} & -108.90 x_{11} & + 91.74 x_{12} & -11.25 x_{28} & +  0.74 x_{27} & -78.30 x_{14} & -2.24 x_{29}\\
 x_{19}   &  184.245521615 & -1.63 x_{31} & -1.06 x_{18} & -1.53 x_{22} & -7.94 x_{6} & -23.74 x_{8} & -1.22 x_{20} & -23.28 x_{4} & -2.02 x_{21} & -1.66 x_{23} & -22.55 x_{11} & + 12.07 x_{12} & -2.53 x_{28} & +  1.10 x_{27} & -10.69 x_{14} & +  0.72 x_{29}\\
 x_{15}   &  24.1426731084 & -0.24 x_{31} & -0.15 x_{18} & -0.04 x_{22} & -1.27 x_{6} & -3.83 x_{8} & -0.16 x_{20} & -2.38 x_{4} & -0.35 x_{21} & -0.19 x_{23} & -3.54 x_{11} & +  4.28 x_{12} & -0.40 x_{28} & +  0.08 x_{27} & -1.58 x_{14} & +  0.00 x_{29}\\
 x_{9}   &  27.0598007411 & -0.22 x_{31} & -0.18 x_{18} & -0.08 x_{22} & -0.96 x_{6} & -4.56 x_{8} & -0.19 x_{20} & -2.38 x_{4} & -0.32 x_{21} & -0.19 x_{23} & -3.08 x_{11} & +  3.23 x_{12} & -0.37 x_{28} & +  0.13 x_{27} & -1.26 x_{14} & +  0.02 x_{29}\\
 x_{7}   &  76.3917964424 & -0.52 x_{31} & -0.48 x_{18} & +  0.03 x_{22} & -3.49 x_{6} & -10.78 x_{8} & -0.50 x_{20} & -7.87 x_{4} & -0.98 x_{21} & -0.53 x_{23} & -8.60 x_{11} & +  8.54 x_{12} & -1.02 x_{28} & +  0.14 x_{27} & -6.02 x_{14} & -0.20 x_{29}\\
 x_{16}   &  1245.32247743 & -9.26 x_{31} & -8.54 x_{18} & -0.46 x_{22} & -65.90 x_{6} & -183.06 x_{8} & -8.13 x_{20} & -132.72 x_{4} & -17.11 x_{21} & -9.52 x_{23} & -154.36 x_{11} & + 163.46 x_{12} & -18.14 x_{28} & +  2.84 x_{27} & -92.00 x_{14} & -2.64 x_{29}\\
 x_{24}   &  629.789053883 & -4.57 x_{31} & -3.60 x_{18} & -1.51 x_{22} & -11.44 x_{6} & -103.82 x_{8} & -4.59 x_{20} & -65.74 x_{4} & -8.24 x_{21} & -4.04 x_{23} & -81.66 x_{11} & + 75.15 x_{12} & -9.49 x_{28} & +  2.03 x_{27} & -44.57 x_{14} & -0.58 x_{29}\\
 x_{3}   &  16.3147101485 & -0.05 x_{31} & -0.07 x_{18} & +  0.02 x_{22} & +  0.11 x_{6} & -0.97 x_{8} & -0.10 x_{20} & -1.54 x_{4} & -0.13 x_{21} & -0.04 x_{23} & -0.97 x_{11} & +  0.66 x_{12} & -0.16 x_{28} & -0.05 x_{27} & -1.80 x_{14} & -0.07 x_{29}\\
 x_{5}   &  7.72034172087 & -0.07 x_{31} & -0.06 x_{18} & -0.06 x_{22} & +  0.27 x_{6} & -1.15 x_{8} & -0.04 x_{20} & -0.94 x_{4} & -0.07 x_{21} & -0.10 x_{23} & -1.24 x_{11} & +  0.21 x_{12} & -0.09 x_{28} & +  0.02 x_{27} & -0.41 x_{14} & +  0.02 x_{29}\\
 x_{2}   &  21.4349232298 & -0.16 x_{31} & -0.11 x_{18} & -0.03 x_{22} & -0.78 x_{6} & -2.95 x_{8} & -0.17 x_{20} & -2.43 x_{4} & -0.33 x_{21} & -0.16 x_{23} & -3.20 x_{11} & +  3.02 x_{12} & -0.31 x_{28} & +  0.06 x_{27} & -1.67 x_{14} & -0.06 x_{29}\\
 x_{30}   &  2177.07016823 & -15.45 x_{31} & -13.36 x_{18} & -1.07 x_{22} & -98.63 x_{6} & -323.60 x_{8} & -14.83 x_{20} & -234.65 x_{4} & -29.63 x_{21} & -15.13 x_{23} & -252.52 x_{11} & + 292.76 x_{12} & -31.44 x_{28} & +  5.46 x_{27} & -162.32 x_{14} & -4.54 x_{29}\\
 x_{1}   &  79.8994125038 & -0.50 x_{31} & -0.51 x_{18} & -0.06 x_{22} & -3.83 x_{6} & -11.49 x_{8} & -0.52 x_{20} & -8.26 x_{4} & -1.03 x_{21} & -0.53 x_{23} & -8.41 x_{11} & +  9.11 x_{12} & -1.09 x_{28} & +  0.17 x_{27} & -6.24 x_{14} & -0.17 x_{29}\\
\hline
z    &  169.030192601 & -0.86 x_{31} & -1.16 x_{18} & +  0.11 x_{22} & -10.35 x_{6} & -24.39 x_{8} & -0.93 x_{20} & -13.45 x_{4} & -1.93 x_{21} & -0.61 x_{23} & -9.88 x_{11} & + 15.79 x_{12} & -2.20 x_{28} & +  0.13 x_{27} & -17.77 x_{14} & -0.56 x_{29}\\
\end{array}\]


 $ x_{12} $ enters and Unbounded Dictionary!


 $ x_{12} $ enters and Unbounded Dictionary!
\end{document}
